Question

A right triangle with side lengths 17 centimeters and 48 centimeters. The hypotenuse is unknown.
What is the length of the hypotenuse in the right triangle?
StartRoot 2,593 EndRoot
60 cm
StartRoot 4,225 EndRoot
65 cm

Answer 1

Step-by-step explaination

Data

right triangle

short leg = 17 cm

long leg = 48 cm

hypotenuse = ?

Process

-Use the Pythagorean theorem to find the answer

c² = a² + b²

c = hypotenuse

a = short leg = 17 cm

b = long leg = 48 cm

- Substitution

c² = 17² + 48²

-Simplification

c² = 289 + 2304

c² = 2593

-Result

$c = \sqrt{2593}$