Question

Find the length of the missing side. Leave your answer in simplest radical form. A. 296 ft B. 2
`√(74)` ft C.
`√(206)` ft D.
`√(26)` ft

Answer 1

B

Explanation:

Since this is a right triangle and we are given the two legs, we can use the Pythagorean Theorem.

The Pythagorean Theorem is:

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

Where c is the hypotenuse (longest side) and a and b are the two legs.

Plug in 10 and 14 for a and b (it doesn't matter which one) and solve for c.

`c^2=10^+14^2\\c^2=100+196\\c^2=296\\c=√(296)=√(4\cdot 74)=\sqrt4\cdot√(74)=2√(74)`