http://www.ck12.org Chapter 10. Perimeter and Area
( 8 + 24 )^2 + 152 =h^2
h^2 = 1249
h≈ 35. 3 inThe perimeter is 24+ 35. 3 + 17 ≈ 76. 3 in.
- The area is^12 ( 24 )( 15 ) = 180 in^2.
Practice
Use the triangle to answer the following questions.
- Find the height of the triangle by using the geometric mean.
- Find the perimeter.
- Find the area.
Find the area of the following shape.
4.- What is the height of a triangle with area 144m^2 and a base of 24 m?
For problems 6 and 7 find the height and area of the equilateral triangle with the given perimeter.
- Perimeter 18 units.
- Perimeter 30 units.
- Generalize your results from problems 6 and 7 into a formula to find the height and area of an equilateral
triangle with side lengthx.
Find the area of each triangle.
- Find the area of a triangle with a base of 10 in and a height of 12 in.
- Find the area of a triangle with a base of 5 in and a height of 3 in.
- An equilateral triangle with a height of 6
√
3 units.- A 45-45-90 triangle with a hypotenuse of 5
√
2 units.- A 45-45-90 triangle with a leg of 12 units.
- A 30-60-90 triangle with a hypotenuse of 24 units.
- A 30-60-90 triangle with a short leg of 5 units.