Finding a triangle’s altitude from its sides
Answers are for parents and teachers.
1
What is the altitude to the side 10 in the triangle 13, 13, 10?
12
2
What is the semi-perimeter of the triangle 9, 10, 17?
18
3
What is the altitude to the side 8 in the triangle 5, 5, 8?
3
4
A triangle has area 84. Find the altitude to its side of length 15.
11.2
5
Use the area formula to explain why the altitude to a longer side is shorter.
S = ½ · side · altitude: with S fixed, a larger side means a smaller altitude.