In ABC, AB=AC,BC is base and AD is height. Ratio of base and height is 3:2 and perimeter is 64 cm. Find the area of ABC.
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32
√2
cm
Step-by-step explanation:
The ratio of the equal side to the base is 3:2.
Let the sides be 3x, 2x. Let the third =3x
Given, perimeter =32
We know that the perimeter is equal to the sum of the sides. Thus,
⇒3x+2x+3x=32
⇒8x=32
⇒x=4
⇒
2
32
=16
Thus, the sides are 12 cm, 8 cm, 12 cm
Thus, Area of the triangle =
2
32
(16−12)(16−8)(16−12)
=
16×4×8×4
=32
2
cm
2
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