Question

N the right triangle above, a= 9.9 and c= 12.4 Find the value of b, rounded to the nearest tenth.

Answer 1

Assuming that c is the hypotenuse, b would equal 7.5. You can find that by using the pythagorean theorem, a^2+b^2=c^2, or in this case, c^2-a^2=b^2. 

Answer 2

In order to solve this equation, use the Pythagorean Theorem.

So... a^2 + b^2 = c^2

9.9^2 + b^2 = 12.4^2

98.01 + b^2 = 153.76

b^2 = 55.75

Take the square root of both sides

b is approximately 7.466, round to tenth place and it's 7.5.