Question

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

Answer 1

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:

In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.

$7^2+a^2=16^2$

$49+a^2=256$

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.

Answer 2

Answer:

14.4

STEPS:

The square root of 7= is 49 and the square root of 16 is 256. Since we are trying to solve for a, we subtract.

49 + a^2 - 49 = 256 - 49 = 207

Square root of is 14.38 but we round it up to 14.4