If a right triangle has legs that are both 12 cm long, how long is the hypotenuse? Round the answer to the nearest hundredth (1 po

Not enough information is given to solve the problem

© 170

1 answer

The length of the hypotenuse can be found using the Pythagorean theorem. According to the theorem, the square of the hypotenuse is equal to the sum of the squares of the legs. Let's denote the length of the hypotenuse as "c" and the lengths of the legs as "a" and "b":

a² + b² = c²

Since both legs are 12 cm long, we can substitute this value into the equation:

12² + 12² = c²

Simplifying this equation gives:

144 + 144 = c²
288 = c²

To find the value of c, we can take the square root of both sides:

c = √288

Using a calculator, we find that √288 is approximately 16.97 cm.

Rounded to the nearest hundredth, the length of the hypotenuse is 16.97 cm.