find the length of the third side of the triangle.

Question

Use the given information to find the length of the third side of the triangle. The triangle is a right triangle.

a = 9 and b = 2

Answer 1

c² = 9² + 2² Pythagorean Theorem

Answer 2

Pythagorean theorem: for a right triangle, a² + b² = c²

Knowing this, we can plug in the given values and solve for the unknown side:

a² + b² = c²

(9)² + (2)² = c²

81 + 4 = c²

c² = 85

c ≅ 9.22