Question

Найдите площадь прямоугольного треугольника ,если его катет и гипотенуза равны соответственно 18 и 30

Answer 1

Катет а=18, гипотенуза с=30. Найдем катет в по теореме Пифагора:
в²=с²-а²=30²-18²=900-324=576
в=√576=24
Найдем площадь из формулы S=1\2*a*в=1\2*18*24=216 ед.²
Ответ: 216 ед²

Answer 2

Calculating the Area of a Right-Angled Triangle

To find the area of a right-angled triangle, we can use the formula:

Area = 0.5 * base * height

In this case, the base and height are given by the lengths of the two legs of the right-angled triangle.

Given Measurements

The given measurements for the right-angled triangle are: - The length of one leg (a.k.a. the base), denoted as a, is 18 units. - The length of the other leg, denoted as b, is also 18 units. - The length of the hypotenuse, denoted as c, is 30 units.

Calculating the Area

We can use the given measurements to calculate the area of the right-angled triangle:

Area = 0.5 * a * b

Substituting the given values: Area = 0.5 * 18 * 18 Area = 0.5 * 324 Area = 162 square units

Therefore, the area of the right-angled triangle is 162 square units.

[[7 #]] provides the information about the lengths of the legs of the triangle.