Find the area of a triangle two sides of which are 18cm and 10cm and the perimeter is 42cm
Hmm.. hmm…
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Jo rakhe hain tune kadam
Tere naam pe meri zindagi
Likh di mere humdum
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Answer:
Area of triangle
s(s−a)(9−b)(s−0)
Here, s is the semi- perimeter,
and a,b,c are the sides of the triangle
Given a=18 cm, b=10 cm
and perimeter =42 cm
semi- perimeters=
2
perimeter
=
2
42
s=21cm.
Area of triangle
∴c=42−(18+10)cm =14 cm
∴ Area of triangle=
21.(21−18)(21−10)(21−14)
=
21.3.7.11
cm
2
=
3×7×3×7×11
cm
2
=
(3×7)
2
×11
cm
2
=21
11
cm
2
∴ Thus, the required area of the triangle is
21
11
cm
2
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