The perimeter of a right triangle is 25 meters and the area is 20 square meters. The length of the sides are each multipled by 3. What is the are of the new triangle

Respuesta :

Answer:

The area of the new triangle is 180 m²

Step-by-step explanation:

let the height of the triangle = h

let the base of the triangle = b

The area of right triangle is given by;

A =  ¹/₂bh

20 = ¹/₂bh

If we multiple each side of the triangle by 3, the new area of the triangle will be as follows;

A= ¹/₂(3b)(3h)

A = ¹/₂(9) (bh)

A = 9(¹/₂bh)

A = 9(20)

A = 180 m²

Therefore, the area of the new triangle is 180 m²