The legs of this triangle are congruent, and the length of its hypotenuse is √2 times the length of a leg. What kind of triangle does the given statement refer to?

What theorem states that, “In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs”?

The short leg of a right triangle is 5 feet long. The long leg of the triangle is 10 feet long. According to the Pythagorean Theorem, which of the following is the length of the hypotenuse?

Name the triangle congruence test described by each statement.a Two consecutive angles and a side length are equal.b Corresponding side lengths are equal.c Two pairs of corresponding angles and an included side are equal.d Have right angles and equal length of hypotenuse and another side.e Two corresponding sides and included angles are equal.

Which of the following states the Pythagorean theorem?A.In a right triangle, the hypotenuse equals the sum of the legs.B.In a right triangle, the square of the hypotenuse equals the sum of the legs.C.In a right triangle, the hypotenuse equals the sum of the squares of the legs.D.In a right triangle, the square of the hypotenuse equals the sum of the squares of the legs.

A triangle has two sides measuring 20 feet and one side measuring 9 feet. What kind of triangle is it?