Respuesta :
Answer:
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.
