Question

4. В прямоугольном треугольнике проекции катетов на гипотенузу равны 15 см и 20 см. Найдите длины катетов треугольника. пожалуйста очень срочно​

Answer 1

Ответ:

35

Объяснение:

Потому что я 15+20 ровно 31

Answer 2

Calculating the lengths of the catetuses of a right triangle given the projections onto the hypotenuse

The question asks us to find the lengths of the catetuses of a right triangle given the projections of the catetuses onto the hypotenuse. We are given that the projections are 15 cm and 20 cm.

Let's break this down step-by-step: * We are dealing with a right triangle * One catetuse projects 15 cm onto the hypotenuse * The other catetuse projects 20 cm onto the hypotenuse * In a right triangle, the sum of the squares of the catetuses is equal to the square of the hypotenuse * We know the hypotenuse is the sum of the projections, which is 15 + 20 = 35 cm * Using the Pythagorean theorem: a^2 + b^2 = c^2 * Where a and b are the catetuses and c is the hypotenuse * We set: a^2 + b^2 = 35^2 * Solving this using the quadratic formula gives: * a = 15 cm * b = 20 cm