Question

The area of the small triangle is 10.5 meters squared and the area of the larger triangle is 94.5 meters squared. If the altitude of the large triangle is 9, what is the altitude of the smaller triangle?

Answer 1

We have two similar triangles.
A ( small ) = 10.5 m²
A ( large ) = 94.5 m²
h ( small ) = ?   and h ( large ) = 9 m.
A s : A l  = h s² : h l ²
10.5 : 94.5 = h s² : 9²
h s² * 94.5 = 81 * 10.5
94.5 h s² = 850.5
h s² = 850.5 : 94.5
h s² = 9
h s = √ 9
h s = 3 m
Answer: The altitude of the smaller triangle is 3 m.