Triangle OGK is shown where OG=22.3 centimeters (am),GK=32.5cm,OK=21.9cm. Height of the triangle is 15cm. What is the area of /_\OGK ? (A) 244.185cm^(2) (B) 243.75cm^(2) (C) 167.25cm^(2) (D) 487.5cm^(2)

Question

Triangle  OGK is shown where  OG=22.3 centimeters  (am),GK=32.5cm,OK=21.9cm. Height of the triangle is  15cm. What is the area of  /_\OGK ? (A)  244.185cm^(2) (B)  243.75cm^(2) (C)  167.25cm^(2) (D)  487.5cm^(2)

Bytelearn · Accepted Answer

Identify Base: To find the area of a triangle, we can use the formula: Area = (base * height) / 2. In this case, we can consider one of the sides of the triangle as the base. Since the height is given, we can use either OG, GK, or OK as the base, but typically the base is the side perpendicular to the given height. However, we are not given which side the height corresponds to, so we will assume that the height is perpendicular to one of the sides given. Let's assume the base is GK, which is 32.5 cm.Calculate Area: Now we can calculate the area using the base GK and the given height of 15 cm. The area A is given by the formula A = (base * height) / 2. A = (32.5 cm * 15 cm) / 2Perform Multiplication: Perform the multiplication before dividing by 2. A = (487.5 cm²) / 2Divide by 2: Now divide by 2 to find the area. A = 243.75 cm²

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