Question

The attachment is there

Find x, the missing side length of the right
triangle.
A. 16.6
B. 23
C.5
D. 10.7
14
9
X
Can someone please help me.

Answer 1

Option D: 10.7 is the correct answer.

Explanation:

Given that:

Hypotenuse of right triangle = 14

Height of right triangle = 9

Length of missing side = b

We can solve for missing side length by using Pythagorean theorem;

`a^2+b^2=c^2`

Here,

a = 9 , c = 14

`(9)^2+(b)^2=(14)^2\\81+b^2=196\\`

Subtracting 81 from both sides

`81-81+b^2=196-81\\b^2=115`

Taking square root on both sides

`√(b^2)=√(115)\\b=10.7`

The length of missing side is 10.7

Hence,

Option D: 10.7 is the correct answer.