Question

Найти гипотенузу прямоугольного треугольника если катеты равны 10см и 24см

Answer 1

С^2=A^2+B^2
C^2=10^2+24^2=576+100=676=26^2
Ответ: 26

Answer 2

Finding the Hypotenuse of a Right-Angled Triangle

To find the hypotenuse of a right-angled triangle when the lengths of the two perpendicular sides (legs) are given, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Given: - Length of one leg (a) = 10 cm - Length of the other leg (b) = 24 cm

Using the Pythagorean theorem: c^2 = a^2 + b^2

Substitute the given values: c^2 = 10^2 + 24^2

c^2 = 100 + 576

c^2 = 676

Taking the square root of both sides: c = √676

c = 26

Therefore, the length of the hypotenuse (c) is 26 cm.