SOLUTION: The lengths of the side of a triangle are 10, 17, 21 cm. How long is the altitude of the triangle to the lonsgest sde? Thank you.

Algebra ->  Trigonometry-basics -> SOLUTION: The lengths of the side of a triangle are 10, 17, 21 cm. How long is the altitude of the triangle to the lonsgest sde? Thank you.      Log On


   

Question 1017605: The lengths of the side of a triangle are 10, 17, 21 cm. How long is the altitude of the triangle to the lonsgest sde? Thank you.
Found 2 solutions by richard1234, ikleyn:
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Using Heron's formula with , we have



Then 84 = 21*h/2, or h = 8.

Answer by ikleyn(52921) About Me  (Show Source):
You can put this solution on YOUR website!
.
The lengths of the side of a triangle are 10, 17, 21 cm. How long is the altitude of the triangle to the lonsgest sde? Thank you.
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See the lesson Proof of the Heron's formula for the area of a triangle in this site.

Very similar problem was solved there (Example 2) with detailed explanation.