the sides of a triangle are in the ratio 5:12:13. If the perimeter of the triangle is 60cm, the area of the triangle in cm² is
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Answer:
Perimeter of triangle =150m (given)
Let the sides of triangle be,a, b and c,
On dividing 150 m in the ratio 5:12:13, we get
a=5xcm
b=12xcm
c=13xcm
we know that, perimeter of a triangle = Sum of all sides =a+b+c
150=5x+12x+13x
150=30x
x=5
Sides are:
a=5x=25cm
b=12x=60cm
c=13x=65cm
Now,
Let a, b and c be the sides of a triangle.
Apply Heron's Formula of find the area of triangle.
Area = S(S−a)(S−b)(S−c)
Where S= a+b+c/2
S= ½ (25+60+65)=75cm
Area = root (75(75−20)(75−60)(75−65))
=root (75×50×15×10)
=750
Area of triangle is 750cm²
Answered by
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Answer:
15√34 cm^2
Step-by-step explanation:
Firstly u have to find "s" and then u have to apply "heron's formula"
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