Question

A right triangle has two sides with lengths 10 and 10. What is the length of the third side?

a. 10/2
b. 10 √3
c. 10 √2
d. 10

Answer 1

The length of the third side of a right triangle, given two sides of length 10, is approximately 14.14 units.

Step-by-step explanation:

The length of the third side of a right triangle can be found using the Pythagorean theorem, which states that for a right triangle with sides a and b and hypotenuse c, the relationship is given by: a² + b² = c².

In this case, the two sides given are both 10.

Applying the theorem, we have: 10² + 10² = c². Simplifying the equation gives us: 100 + 100 = c².

Combining like terms yields: 200 = c².

Taking the square root of both sides, we find that c ≈ 14.14 units.