The sides of a right-angled triangle and the height drawn to the hypotenuse are 36 cm, 45 cm, 60

| August 21, 2021 | education

The sides of a right-angled triangle and the height drawn to the hypotenuse are 36 cm, 45 cm, 60 cm and 75 cm. Indicate the lengths of the legs of this triangle, the hypotenuse and the height drawn to the hypotenuse.

The largest segment of a right-angled triangle is the hypotenuse. Then the length of the hypotenuse BC = 75 cm.

The height drawn to the hypotenuse is shorter than any of the legs of a right triangle, since they are hypotenuses in right triangles formed by this height, then AH = 36 cm.

The legs are respectively 45 cm and 60 cm.

Let’s check the Pythagorean theorem: 752 = 5625.

45 ^ 2 + 60 ^ 2 = 2025 + 3600 = 5625.

5625 = 5625.

Let’s check the height of AN.

Str = AB * AC / 2 = 45 * 60/2 = 1350.

Str = BC * AH / 2 = 75 * 36/2 = 1350.

Answer: The hypotenuse is 75 cm, the legs are 45 cm and 60 cm, the height is 36 cm.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.