Question

Найдите гипотенузу прямоугольного прямоугольника, если его катеты равны 6 см и 8 см.

Answer 1

С²=А²+В²
С=√А²+√В²=√6²+√8²=√36+√64=√100=10см 

Answer 2

По теореме Пифагора ВC квадрат (гипотенуза) = AB квадрат + АС квадрат
ВС квадрат = 36+64=100
ВС = 10 см
Ответ:10 см

Answer 3

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 (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Given: - Length of one leg (a) = 6 cm - Length of the other leg (b) = 8 cm

Using the Pythagorean theorem: The formula is: a^2 + b^2 = c^2, where c is the length of the hypotenuse.

Substituting the given values: 6^2 + 8^2 = c^2 36 + 64 = c^2 100 = c^2

Taking the square root of both sides: c = √100 c = 10 cm

Answer: The length of the hypotenuse of the right-angled triangle is 10 cm.