#1**0 **

Acute scalene triangle.

Sides: a = 17 b = 25 c = 28

Area: T = 210

Perimeter: p = 70

Semiperimeter: s = 35

Angle ∠ A = α = 36.87° = 36°52'12″ = 0.644 rad

Angle ∠ B = β = 61.928° = 61°55'39″ = 1.081 rad

Angle ∠ C = γ = 81.203° = 81°12'9″ = 1.417 rad

Calculate the heights of the triangle from its area.

There are many ways to find the height of the triangle. The easiest way is from the area and base length. The area of a triangle is half of the product of the length of the base and the height. Every side of the triangle can be a base; there are three bases and three heights **(altitudes).** Triangle height is the perpendicular line segment from a vertex to a line containing the base.

Height: ha = 24.706

Height: hb = 16.8

**Height: hc = 15**

Guest Jan 3, 2020