Solve For Missing Dimension Of A Triangle Given Area Quiz

<p>A triangle has an area of `21` `text{in}^2`.</p><p>What is the height (`h` in) of the triangle?</p><highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal. </highlight></p><UiTriangleV2 data-props='{ "options": { "cell_size": 16, "rows": 12, "columns": 10, "xOffset": 1, "yOffset": -1, "padding": 2 }, "scale_factor": 8, "vertex": { "top": { "angle": 40.6 }, "left": { "angle": 90 }, "right": { "angle": 49.4 } }, "sides": { "base": { "label": { "label": "6 in", "label_color": "black" }, "color": "black" }, "left": { "label": { "label": "h", "label_color": "black" }, "color": "black" }, "right": { "label": { "label": "", "label_color": "black" } } }, "arcs": [ { "position": "left", "color": "black", "show_arc": true } ], "background_color": "white", "border_color": "black", "area": { "text": "21 in", "position": "top", "color": "black" }}'></UiTriangleV2 >

<p>A triangle has an area of `63` `text{in}^2`. </p><p>What is the height (`h` in) of the triangle?<highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal. </highlight></p><UiTriangleV2 data-props='{ "options": { "cell_size": 16, "rows": 11, "columns": 15, "padding": 1, "xOffset": 4, "yOffset":0 }, "scale_factor": 8, "vertex": { "top": { "angle": 67.6 }, "left": { "angle":38.4 }, "right": { "angle": 74 } }, "sides": { "base": { "label": { "label": "14 in" } }, "left": { "label": { "label": "" } }, "right": {}, "altitude": { "label": { "label": "h" } } }, "arcs": [ { "position": "altitude", "show_arc": true } ], "background_color": "white", "border_color": "black", "area": { "text": "63 in", "position": "top", "color": "black" }}'></UiTriangleV2 >

<p>A triangle has an area of `54` `text{yd}^2`. </p><p>What is the height (`h` yd) of the triangle?<highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal. </highlight></p><UiTriangleV2 data-props='{ "options": { "cell_size": 16, "rows": 11, "columns": 12, "padding": 0, "xOffset": -2 }, "scale_factor": 6, "vertex": { "top": { "angle": 67.5 }, "left": { "angle": 54.8 }, "right": { "angle": 57.7 } }, "sides": { "base": { "label": { "label": "12 yd" } }, "left": { "label": { "label": "11 yd" } }, "right": {}, "altitude": { "label": { "label": "h" } } }, "arcs": [ { "position": "altitude", "show_arc": true } ], "background_color": "white", "border_color": "black", "area": { "text": "54 yd", "position": "top", "color": "black" }}'></UiTriangleV2 >

<p>A triangle has an area of `48` `text{mm}^2`. </p><p>What is the height (`h` mm) of the triangle?<highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal. </highlight></p><UiTriangleV2 data-props='{ "options": { "cell_size": 15, "rows": 12, "columns": 16, "padding": 1, "xOffset": 0, "yOffset": 1 }, "scale_factor": 7, "vertex": { "top": { "angle": 73.8 }, "left": { "angle": 53.1 }, "right": { "angle": 53.1 } }, "sides": { "base": { "label": { "label": "12 mm" } }, "left": { "label": { "label": "10 mm" } }, "right": {}, "altitude": { "label": { "label": "h" } } }, "arcs": [ { "position": "altitude", "show_arc": true } ], "background_color": "white", "border_color": "black", "area": { "text": "48 mm", "position": "top", "color": "black" }}'></UiTriangleV2 >

<p>A triangle has an area of `56` `text{yd}^2`. </p><p>What is the height (`h` ft) of the triangle?<highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal. </highlight></p><UiTriangleV2 data-props='{ "options": { "cell_size": 16, "rows": 7, "columns": 15, "padding": 1, "yOffset": 1,"xOffset":0.5}, "scale_factor": 9, "vertex": { "top": { "angle": 34.4 }, "left": { "angle": 127}, "right": { "angle": 18.6 } }, "sides": { "base": { "label": { "label": "16 yd" }}, "left": { "label": { "label": "9 yd", "labelXOffset": 8, "labelYOffset": 2 } },"right": {}, "altitude": { "label": { "label": "h" } } }, "arcs": [ { "position": "altitude","show_arc": true } ], "background_color": "white", "border_color": "black", "area": { "text": "56 yd", "position": "top", "color": "black" }}'></UiTriangleV2>

<p>A triangle has an area of `150` `text{ft}^2` .</p><p>What is the height (`h` ft) of the triangle?<highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal. </highlight></p><UiTriangleV2 data-props='{ "options": { "cell_size": 16, "rows": 9, "columns": 15, "padding": 1, "xOffset": 0.5, "yOffset": 1 }, "scale_factor": 9.5, "rotation_angle": 0, "disableLabelRotation": true,"vertex": { "top": { "angle": 29.7 }, "left": { "angle": 123.7 }, "right": { "angle": 26.6 } }, "sides": { "base": { "label": { "label": "20 ft" } }, "left": { "label": { "label": "18 ft", "labelXOffset": 6 } }, "right": {}, "altitude": { "label": { "label": "h" } } }, "arcs": [ { "position": "altitude", "show_arc": true } ], "background_color": "white", "border_color": "black", "area": { "text": "150 ft", "position": "top", "color": "black" }}'></UiTriangleV2 >

<p> The triangle has an area of `87.5` `text{mm}^2`. </p> <p>What is the height (`h` mm) of the triangle?<highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal. </highlight></p><UiTriangleV2 data-props='{ "options": { "cell_size": 16, "rows": 14, "columns": 15, "padding": 1, "xOffset": 2, "yOffset": 0 }, "scale_factor": 7, "rotation_angle": 0, "disableLabelRotation": true, "vertex": { "top": { "angle": 44.8 }, "left": { "angle": 52.8 }, "right": { "angle": 82.4 } }, "sides": { "base": { "label": { "label": "12.5 mm", "label_color": "black", "labelXOffset": 2 }, "color": "black" }, "left": { "label": { "label": "17.6 mm" } }, "right": { "label": { "label": "14.1 mm", "labelXOffset": -1 } }, "altitude": { "label": { "label": "h", "label_color": "black", "labelXOffset": -15,"labelYOffset": 40 }, "right": true, "color": "black" } }, "arcs": [ { "position": "altitude", "show_arc": true } ], "background_color": "white", "border_color": "black", "rotation_angle": -90, "area": { "text": "87.5 mm", "position": "top", "color": "" }, "disableLabelRotation": false}'></UiTriangleV2 >

<p> The triangle has an area of `80.5` `text{m}^2`. </p> <p>What is the height (`h` m) of the triangle?<highlight data-color="#666" data-style="italic">Write your answer as a whole number, simplified fraction, or exact decimal. </highlight></p><UiTriangleV2 data-props='{ "options": { "cell_size": 16, "rows": 11, "columns": 15, "padding": 1, "xOffset": 1, "yOffset": 1 }, "scale_factor": 8, "rotation_angle": 0, "disableLabelRotation": true, "vertex": { "top": { "angle": 40.1 }, "left": { "angle": 106.1 }, "right": { "angle": 33.8 } }, "sides": { "base": { "label": { "label": "14 m" }, "color": "black" }, "left": { "label": { "label": "12 m", "labelXOffset": 7 } , "color": "black" }, "right": { "label": { "label": "20.8 m" }, "color": "black" }, "altitude": { "label": { "label": "h" }, "color": "black" } }, "arcs": [ { "position": "altitude", "show_arc": true } ], "background_color": "white", "border_color": "black", "area": { "text": "80.5 m", "position": "top", "color": "" }}'></UiTriangleV2 >