SOLUTION: "One triangle has sides 13, 13, and 10. Another triangle has sides 12, 20, and 16. Find the ratio of the smaller area to the larger area. Write your answer using : to indicate rati

Algebra.Com
Question 937329: "One triangle has sides 13, 13, and 10. Another triangle has sides 12, 20, and 16. Find the ratio of the smaller area to the larger area. Write your answer using : to indicate ratio."
I found the area of the smaller triangle to be 60 square units by dividing it in half since it is isosceles and obtaining the altitude that way. then i did

5(5) +x(x) =13(13)
25+x(x) =169
x(x) =144
x=12
10(12)/2 = 6o units squared
But i am having difficulties fiding the altitude and area of the larger triangle.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
area of the smaller
5(5) +x(x) =13(13)
25+x(x) =169
x(x) =144
x=12
10(12)/2 = 6o units squared Good Work.
.......
Use Heron's Equation to find the area of a triangle when 3 sides are given
sides 12, 20, and 16.
A = s = 1/2P = 24
A = = 96
.....
ratio of the smaller area to the larger area: 60/96 = 5/8

RELATED QUESTIONS

Find the area of a triangle whose sides measure, 13 feet, 13 feet, and 10... (answered by dabanfield)
if a triangle has 5',12',and 13' sides, what is the area in square... (answered by richard1234)
A triangle has sides that measure 16, 12, and 20 what is the... (answered by Alan3354)
The sides of a triangle are in the ratio 5:12:13, and its perimeter is 150 m. Find the... (answered by Fombitz)
The sides of a triangle are in the ratio 5:12:13 and its perimeter is 150 m. Find the... (answered by ikleyn,MathTherapy)
Find the angle between the two sides of length 13 in an isosceles triangle that has one... (answered by Gogonati)
Find the diameter of the circle that can be circumscribed around a triangle that has two... (answered by greenestamps,ikleyn)
Consider two similar triangles, one with measurements of 5, 12, and 13 cm. Explain your... (answered by ikleyn)
a triangle has sides of 5 cm, 12 cm, and 13 cm. The altitude drawn to the 13 cm side cuts (answered by lynnlo)