Question

Pythagorean Theorem For the following right triangle, find the side length x. Round your answer to the nearest hundredth. 10 11 X 0

Answer 1

x = 14.87

Step-by-step explanation

We have a right triangle, so we have to use the Pythagorean Theorem to solve it. The equation is,

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

Where c is the hypotenuse, and a and b are the legs.

The hypotenuse is always the longest side and also the side opposite to the right angle. In this case, the legs of the triangle are 10 and 11 units long, and we have to find the length of the hypotenuse, x,

`x^2=10^2+11^2`

Solving for x,

`x=√(10^2+11^2)=√(100+121)=√(221)\approx14.87`

Hence, the value of x is 14.87, rounded to the nearest hundredth.