The legs of a right-angled triangle, 10 cm and 24 cm long, are proportional to the legs of the other triangle.

The legs of a right-angled triangle, 10 cm and 24 cm long, are proportional to the legs of the other triangle. find the hypotenuse of the second triangle if its smaller leg is 20 cm.

Let us determine how many centimeters will express the length of the hypotenuse, when from the condition of the task we know that the first leg is 10 centimeters, while the second is 24 cm:

√ (10 ^ 2 + 24 ^ 2) = √ (100 + 576) = √676 = 26.

Determine how many times the smaller leg of the second triangle is larger than the similar leg in the first:

10 <24;

20: 10 = 2.

Determine how many centimeters will express the length of the hypotenuse in the second triangle:

2 * 26 = 52.

Answer: It is 52 cm.