SOLUTION: Find the altitude of the longest side of a triangle with sides of 12, 10, and 8.

Algebra.Com
Question 388627: Find the altitude of the longest side of a triangle with sides of 12, 10, and 8.
Answer by richard1234(7193)   (Show Source): You can put this solution on YOUR website!
By Heron's formula, the area of the triangle is



The altitude of the longest side is the one which is perpendicular to the segment with length 12. Thus,




RELATED QUESTIONS

Three sides are 12 cm, 18 cm and 10 cm. Find the altitude to the longest side and median... (answered by michaelchudov)
10. If the sides of a triangle are 13, 14, and 15 cm long, then the altitude drawn to the (answered by jim_thompson5910)
Three sides of a triangle measures 12 cm, 18 cm and 10 cm. Find the altitude of the... (answered by ikleyn,greenestamps)
A triangle with sides of 6, 10, and 12 is similar to a triangle whose longest side is 36. (answered by Fombitz)
solution: the sides of the triangle are 12, 8 and 15 inches long. In a similar triangle,... (answered by solver91311)
If the sides of a triangle are 7, 8, and 9, what is the exact length of the altitude to... (answered by richard1234)
The lengths of the sides of a triangle are 13cm, 37cm and 40cm. Find the length of the... (answered by solver91311,ikleyn)
the lengths of the sides of a triangle are 13 cm, 14 cm and 15 cm. Find the length of the (answered by KMST)
the sides of a triangle measure 5,9, and 10. find the perimeter of similar triangle whose (answered by checkley79)