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tigry1 [53]
3 years ago
5

You work as an assistant to a carpenter who designed the tabletop below. He tells you that each shape is a right triangle, and e

ach is the same size. You now need to calculate the area of one triangle so that you can begin building the tabletop. What is the area of each triangle in square inches? 28 1/4" and 20"

Mathematics
1 answer:
almond37 [142]3 years ago
3 0

Answer:

A. 200 square inches

Step-by-step explanation:

First, use Pythagorean Theorem to find the base of each triangle.

a^2+b^2=c^2\\20^2+b^2=(28\frac{1}{4})^2\\400+b^2=798.0625\\b^2=398.0625\\b=\sqrt{398.0625}\\b=19.9515037

Finally, use the area of a triangle formula to find the area of each triangle.

A=\frac{1}{2}bh\\A=\frac{1}{2}(19.9515037)(20)\\A=199.515037

Therefore, the area of each triangle is approximately 200 in².

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