The legs of a right-angled triangle are 27 and √295 find the hypotenuse.

Given: right-angled triangle ABC;

angle C = 90;

leg AC = 27 centimeters;

leg BC = √295 centimeters.

Find: leg ВС -?

Decision:

Consider a right-angled triangle ABC. By the Pythagorean theorem (the square of the hypotenuse is equal to the sum of the squares of the legs):

AC ^ 2 + BC ^ 2 = AB ^ 2;

27 ^ 2 + 295 = AB ^ 2;

729 + 295 = AB ^ 2;

1024 = AB ^ 2;

AB = 32 centimeters.

Answer: 32 centimeters.