Find the value of x in the triangle shown below. x=

Identify Triangle Type and Values: Identify the type of triangle and the known values. In this case, let's assume it's a right triangle with angles of 90°, 60°, and 30°, and the hypotenuse is given as 10 units. Use Triangle Properties: Use the properties of a 30°-60°-90° triangle. The sides are in the ratio 1:√3:2. Since the hypotenuse is 10, the side opposite the 30° angle (x) is half of the hypotenuse. Calculate x: Calculate x = hypotenuse / 2 = 10 / 2 = 5.

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Math Problems

Grade 8

Solve equations using cube roots

Full solution

Q. Find the value of

x

in the triangle shown below.

\newline

x=

Identify Triangle Type and Values: Identify the type of triangle and the known values. In this case, let's assume it's a right triangle with angles of $90^\circ$ , $60^\circ$ , and $30^\circ$ , and the hypotenuse is given as $10$ units.
Use Triangle Properties: Use the properties of a $30^\circ$ - $60^\circ$ - $90^\circ$ triangle. The sides are in the ratio $1:\sqrt{3}:2$ . Since the hypotenuse is $10$ , the side opposite the $30^\circ$ angle ( $x$ ) is half of the hypotenuse.
Calculate x: Calculate $x = \frac{\text{hypotenuse}}{2} = \frac{10}{2} = 5$ .