Question

Катети прямокутного трикутника дорівнюють 6 сантиметрів і 8 сантиметрів знайдіть висоту проведеного до гіпотенузи

Answer 1

Відповідь:
h(c)=4,8см.

Розв'язання:
За теоремою Піфагора, знайдемо гіпотенузу.
с=√(а²+b²)=√(6²+8²)=√(36+64)=
=√100=10см.
h(c)=a*b/c=6*8/10=4,8см

Answer 2

Finding the Height of the Triangle

To find the height of the right-angled triangle, we can use the formula for the area of a triangle, which is given by the formula:

Area = 0.5 * base * height

In this case, the base and height of the triangle are the two legs, which are given as 6 centimeters and 8 centimeters. We can use these values to find the height of the triangle.

Using the given legs of the right-angled triangle, we can calculate the height as follows:

Height = (base * height) / hypotenuse

Substituting the given values, we get:

Height = (6 * 8) / 10

Calculating this, we find:

Height = 48 / 10 = 4.8 centimeters

So, the height of the triangle, when drawn to the hypotenuse, is 4.8 centimeters.

This calculation is based on the formula for the area of a triangle and the given lengths of the legs of the right-angled triangle. The height is calculated using the relationship between the legs and the hypotenuse of a right-angled triangle