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vladimir1956 [14]
3 years ago
6

What is the length of side a? Round to the nearest tenth of an inch. Enter your answer in the box. ( Answer in Inches )

Mathematics
1 answer:
Jet001 [13]3 years ago
3 0

Given:

Base of a right triangle = 7 in

Height of a right triangle = a

Hypotenuse = 16 in

To find:

The length of side a.

Solution:

Using Pythagoras theorem:

\text{Base}^2+\text{Height}^2=\text{Hypotenuse}^2

7^{2}+a^{2}=16^{2}

49+a^{2}=256

Subtract 49 from both sides.

49+a^{2}-49=256-49

a^{2}=207

Taking square root on both sides, we get

a = 14.4

The length of side a is 14.4 in.

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