Question 1036266: The ratio of base and hypotenuse is 4:5 of a right angled triangle. Its perimeter is 48 cm. Find its area.
Answer by Cromlix(4381)   (Show Source):
You can put this solution on YOUR website! Hi there,
If the ratio of base to hypotenuse
is 4:5, then the final side (upright)
will = 3. (3,4,5 triangle)
3+4+5 = 12
Perimeter = 48 cm
Base = 4/12 x 48
Base = 16 cm
Hypotenuse = 5/12 x 48
Hypotenuse = 20 cm
Upright = 3/12 x 48
Upright = 12 cm.
Area of a triangle
= 1/2(base x height)
=1/2(16 x 12)
= 96 cm^2
Hope this helps :-)
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