Awooden stage rests on a triangular stilt. the base of the triangle is the same as the height. the area of the stilt is 24.5 square meters. what is the height of the triangle?

The height of the triangle is 7 m.

Step-by-step explanation:

Given a triangle with dimension of the base (b) equal to that of height (h) and an area of 24.5 m². You have to evaluate this information in terms of the equation that describes the area of a triangle (A).

A = (b×h)/2 ⇒ replacing with the value of area given before

24.5 m² = (bxh)/2 ⇒ (24.5 m²) x 2 = bxh ⇒ 49 m² = bxh.

As the base has the same dimension as height, we can write bxh= b² or h²

⇒49 m² =  b²⇒ √(49 m²) = b ⇒ 7 m = b = h.

Summarizing the height of the triangle is 7 m.