A right angle has a hypotenuse c = 12.6 and a leg b = 8.5. what does leg a approximately equal?

Question

a. 8.4

b. 9.3

c. 10.2

d. 15.2

Answer 1

use the Pythagorean theorem to solve this

the Pythagorean theorem is A2 + B2 = C2  (A square + B square = C square)

A2 + B2 = C2

X square + 8.5 square = 12.6 square

then  X square = 12.6 square -- 8.5 square

X square = 158.76 -- 72.25

X square = 86.51

X = square root 86.51

X = 9.30

the answer is B

Answer 2

sqrt(c^2-b^2) =9.3

Answer 3

leg = √(12.6^2 - 8.5^2) = √86.51 = 9.3