SOLUTION: the measure of two legs of a triangle are in the ratio 3:4. if the area of the triangle is 54 what are the lengths of the three sides of the trianlge
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Question 549432: the measure of two legs of a triangle are in the ratio 3:4. if the area of the triangle is 54 what are the lengths of the three sides of the trianlge Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! the measure of two legs of a triangle are in the ratio 3:4. if the area of the triangle is 54 what are the lengths of the three sides of the triangle
:
Assuming this is right triangle
Let x = the multiplier
then
leg 1 = 3x
leg 2 = 4x
:
Area of the triangle *3x*4x = 54
6x^2 = 54
x^2 = 54/6
x^2 = 9
x = 3 is the multiplier
then
leg 1 = 3*3 = 9
leg 2 = 4*3 = 12
Find the hypotenuse
h =
h = 15 is the 3rd side
:
the lengths of the three sides of the triangle: 9, 12, 15
