Hello, GoldendoodleMom!

Find an algorithm for constructing a triangle given one side, ,

and altitudes and from and respectively.

(Using straightedge-compass construction)

Draw line segment

Locate its midpoint

Draw a semicircle with diameterCode:* * * * * * * * * * * A * - - - - * - - - - * B M

With as center and radius , swing an arc cutting the semicircle at

With as center and radius , swing an arc cutting the semicircle at

Code:Q ∆ * * P * ∆ o * ∆ * * o ∆ * o ∆ * o ∆ * A o - - - - * - - - - ∆ B M

Draw and , extending them to meet at

The required triangle is