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4 votes
A right triangle with a height measuring

4.75 inches contains a hypotenuse
measuring 7.42 inches. What is the
measure of the area of the triangle to the
nearest tenth of a square inch?

1 Answer

2 votes
The formula for the area of a right triangle is:

Area = (1/2) × base × height

We don't know the length of the base of the triangle, but we can use the Pythagorean theorem to find it:

base^2 + height^2 = hypotenuse^2

base^2 + 4.75^2 = 7.42^2

base^2 + 22.5625 = 55.0564

base^2 = 55.0564 - 22.5625

base^2 = 32.4939

base ≈ 5.7

Now we can use the formula for the area of a triangle to find the area:

Area = (1/2) × base × height

Area = (1/2) × 5.7 × 4.75

Area ≈ 13.5775

Rounding to the nearest tenth of a square inch, the measure of the area of the triangle is 13.6 square inches.
User Ruslan Zinovyev
by
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