Question 1180833: The sides of a triangle are 70cm, 80cm, and 90 cm. Compute the length of the altitude to the 80-cm side.
Found 4 solutions by mananth, ikleyn, MathTherapy, josgarithmetic:
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! sides of a triangle are 70cm, 80cm, and 90 cm.
herons formula
s= 1/2 perimeter = (70+80+90)/2 =120
a ,b , c are the sides of triangle
Area = 2683.28
Area = 1/2 base * height
2683.28= 80 *height
height = 33.54 cm^2
Answer by ikleyn(52781)  (Show Source):
You can put this solution on YOUR website! .
The numbers in the solution by @mananth are incorrect.
So I came to bring the correct solution/answer.
sides of a triangle are 70cm, 80cm, and 90 cm.
Use the Heron's formula
area = 
s= 1/2 perimeter = (70+80+90)/2 = 120 cm
a, b, c are the sides of triangle
area =  cm^2
Area = 2683.28 cm^2
Area = 1/2 base * height
2683.28= (1/2)*80*height
height = 67.08 cm. the CORRECT ANSWER
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website!
The sides of a triangle are 70cm, 80cm, and 90 cm. Compute the length of the altitude to the 80-cm side.
That's WRONG. The height is NOT 33.54 cm.
Furthermore, length is NOT denoted by square units! Therefore, we have: height = 33.54 cm^2.
Answer by josgarithmetic(39617)  (Show Source):
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