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Find the area of a triangle whose sides are 34cm, 20cm and 42cm. Hence find the length of the altitude corresponding to the shortest side.
Answers
Answered by
9
Answer:
Sides of the triangle are a=42,b=34,c=20
According to Hero's formula,
Area of the triangle, A=
s(s−a)(s−b)(s−c)
Where s=
2
a+b+c
=
2
42+34+20
=48
Now,
A=
48(48−42)(48−34)(48−20)
A=
48(6)(14)(28)
A=
(6×8)(6)(14)(14×2)
A=14×6×4
A=336cm
2
Let the height corresponding to longest side (42cm) is h
Area =
2
1
×base×height
2
1
×42×h=336
h=
42
336×2
=16 cm
Step-by-step explanation:
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22
Answer:
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