The perimeter of an isosceles triangle is 32 cm. If the ratio of the equal side to the unequal side is 5:6 , find the area of the triangle using Heron's formula.
please tell how to solve heron's formula if it is in decimal point?
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Answer:
I am going to give you its whole answer step by step
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
⇒232=16
Thus, the sides are 12 cm, 8 cm, 12 cm
Thus, Area of the triangle =232(16−12)(16−8)(16−12)
=16×4×8×4
=322cm2
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The.perimeter of an isosceles triangle is 32cm. The ratio of the equal side to base is 3:2. Find the area of the triangle.
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Correct option is
D
32
2
cm
2
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