Question

The attachment is there

Answer 1

Answer:

Option D: 10.7 is the correct answer.

Step-by-step 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

$\sqrt{b^2}=\sqrt{115}\\b=10.7$

The length of missing side is 10.7

Hence,

Option D: 10.7 is the correct answer.