Find the value of x. Round your answer to the nearest tenth.

Circle with a right triangle inside, one side is a radius(c)=10.4, a=8.4, b=x

Find the value of x. Round your answer to the nearest tenth.

Circle with a right triangle inside, one side is a radius(c)=10.4, a=8.4, b=x

5.2

8.4

10.4

6.1

1 answer

To find the missing side of the triangle (b), you can use the Pythagorean Theorem:

a^2 + b^2 = c^2
8.4^2 + b^2 = 10.4^2
70.56 + b^2 = 108.16
b^2 = 37.6
b = √37.6
b ≈ 6.1

Therefore, the value of x is approximately 6.1.