Question

The area of a right angled trangle is 96 square centimeters. One of the pependicular sides is 16 centimeters long. what is the length of the other
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Answer 1

Answer:

Step-by-step explanation:

Since the legs of a right triangle are perpendicular to each other, then depending on how the triangle is oriented, one leg can function as the base of length b and the other leg can serve as the altitude of height h.

The formula for the area A of a triangle is given by the formula:

A = (1/2)bh

Since we're given that A = 96 cm², and, let's say, b = 16 cm (We could have said let h = 16 cm), then substituting into the above formula, we get:

96 cm² = (1/2)(16 cm)h

96 cm² = (8 cm)h

(96 cm²)/(8 cm) = [(8 cm)h]/(8 cm)

(96 cm²)/(8 cm) = [(8 cm)/(8 cm)]h

12 cm = [1]h

h = 12 cm is the length of the other side (leg) of the given right triangle.

Answer 2

check the attachment for the answer

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