Question

В треугольнике KMP MP=10 см, KM=24 см, KP=25 см. Является ли треугольник KMP прямоугольным?Помогите, пожалуйста!

Answer 1

Triangle KMP

To determine if triangle KMP is a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, we are given that MP = 10 cm, KM = 24 cm, and KP = 25 cm. To check if triangle KMP is a right triangle, we need to verify if the square of the longest side (KP) is equal to the sum of the squares of the other two sides (MP and KM).

Let's calculate the squares of the sides:

- KP^2 = 25^2 = 625 - MP^2 = 10^2 = 100 - KM^2 = 24^2 = 576

Now, let's check if KP^2 is equal to MP^2 + KM^2:

625 = 100 + 576

Since KP^2 is equal to the sum of MP^2 and KM^2, we can conclude that triangle KMP is a right triangle.

Therefore, triangle KMP is a right triangle.