Question

В ПРЯМОУГОЛЬНОМ ТРЕУГОЛЬНИКЕ АВС УГОЛ А=90 ГРАГУСОВ ГИПОТЕНУЗА ВС=5 СМ А КАТЕТ АС=3 СМ. НАЙДИ ДРУГОЙ КАТЕТ

Answer 1

По теореме Пифагора: АВ² = ВС² - АС²
АВ = √(ВС² - АС²)
AB = √(5²-3²) = √(25-9) = √16
AB = 4 cм

Answer 2

Given Information:

We have a right-angled triangle ABC, where angle A is 90 degrees, the hypotenuse AC is 5 cm, and side AS is 3 cm. We need to find the length of the other side, BC.

Solution:

To find the length of side BC, 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.

Let's denote the length of side BC as x.

According to the Pythagorean theorem, we have the equation:

x^2 + 3^2 = 5^2

Simplifying the equation, we get:

x^2 + 9 = 25

Subtracting 9 from both sides, we have:

x^2 = 16

Taking the square root of both sides, we get:

x = 4

Therefore, the length of the other side, BC, is 4 cm.

Answer:

The length of the other side, BC, in the given right-angled triangle ABC is 4 cm.