Question

Знайти катети прямокутного рівнобедреного трикутника якщо його площа дорівнює 18 сантиметрів квадратних

Answer 1

S = 1/2ab, де a - один катет , b - другий катет. За умовою, а = b
S = 1/2а²
18 = 1/2а²
а² = 36
а = 6 см
Відповідь: 6 см

Answer 2

Finding the Legs of a Right Isosceles Triangle with a Given Area

To find the lengths of the legs of a right isosceles triangle when its area is given, we can use the formula for the area of a triangle:

Area = (base * height) / 2

In the case of a right isosceles triangle, the base and height are the same length, so we can rewrite the formula as:

Area = (side * side) / 2

Given that the area of the triangle is 18 square centimeters, we can set up the equation:

18 = (side * side) / 2

To solve for the length of the side, we can multiply both sides of the equation by 2:

36 = side * side

Taking the square root of both sides gives us:

side = √36

Simplifying the square root of 36 gives us:

side = 6

Therefore, the length of each leg of the right isosceles triangle is 6 centimeters.

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