SOLUTION: Two triangles charge the same base, with length 5mm. One triangle’s height is twice the others. The combine area of both triangle is 60mm. What is the height of the larger triang

Algebra ->  Triangles -> SOLUTION: Two triangles charge the same base, with length 5mm. One triangle’s height is twice the others. The combine area of both triangle is 60mm. What is the height of the larger triang      Log On


   

Question 1141682: Two triangles charge the same base, with length 5mm. One triangle’s height is twice the others. The combine area of both triangle is 60mm. What is the height of the larger triangle?
A)4
B)8
C)16
D)20
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
charge
"SHARE" the same base

60=%281%2F2%295%282h%29%2B%281%2F2%295h
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Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

Since the base is common and the heights differ in two times, the areas differ in two times, too.


Then without any calculations, it is clear that the area of the smaller triangle is 20 square millimeters,

while the area of the larger triangle is 40 square millimeters.


So, for the larger triangle,  area = %281%2F2%29%2A5%2AH = 40,  which implies  H = %282%2A40%29%2F5 = 80%2F5 = 16 millimeters.    ANSWER