Question

What is the height of this isosceles triangle?

Answer 1

height ≈ 11.9 units

Explanation:

Construct a perpendicular bisector from the vertex to the base, thus splitting the triangle into 2 right triangles.

Using the sine ratio in one of these right triangles, then

sin48° =
`(opposite)/(hypotenuse)` ( the opposite is the height h )

sin48° =
`(h)/(16)` ( multiply both sides by 16 )

16 × sin48° = h , thus

h ≈ 11.9 ( to the nearest tenth )