Question

боковая сторона равнобедренного треугольника равна 13 см,а его медиана проведённая к основанию -5 см.найдите площадь этого треугольника. Срочно надо у меня щас итоговая аттестация

Answer 1

Медиана проведенная к основанию равнобедренного треугольник совпадает с его высотой. То есть имеем половинку треугольника в виде прямоугольного треугольника с гипотенузой 13 см и катетом 5 см, по теореме Пифагора находим второй катет (половинка основания исходного равнобедренного треугольника) x = корень(13*13 - 5*5) = 12. А площадь треугольника 5*12 (высота на половину основания) = 60

Answer 2

Calculation of the Triangle's Area

To find the area of a triangle, we need to know the length of its base and the length of its corresponding height. In this case, we are given the length of the base (the side of the triangle) and the length of the median drawn to the base.

Let's denote the base of the triangle as b and the length of the median as m.

Given: - Length of the base (side of the triangle) = 13 cm - Length of the median drawn to the base = -5 cm

To find the area of the triangle, we can use the formula:

Area = (1/2) * base * height

In a triangle, the median drawn to the base divides the triangle into two equal areas. So, the area of the triangle can also be calculated using the formula:

Area = (1/2) * base * median

Now, let's substitute the given values into the formula to find the area of the triangle.

Area = (1/2) * 13 cm * (-5 cm)

Calculating this expression, we get:

Area = -32.5 cm^2

Therefore, the area of the triangle is -32.5 square centimeters.

Please note that the negative sign in the area indicates that the triangle is oriented in a way that the base and the median have opposite directions. However, in geometry, we usually consider the magnitude of the area, so the absolute value of the area is 32.5 square centimeters.

I hope this helps! Let me know if you have any further questions.