lengths of the side of the triangle are 5cm 12cm and 13cm. Find the length of the perpendicular from the opposite vertex to the side whose length is 13cm.
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Answer:
60/13 or 4.61
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It is given that,
Three sides of the triangle are :
- 5 cm ( A )
- 12 cm ( B )
- 13 cm ( C )
Area Of Triangle = √ (S(S-A)(S-B)(S-C))
Now,
S = 5+12+13/2
∴ S = 15
Now,
Area = √(5×3×5×2×3×2)
Area = √ (900)
Area = 30
Now,
Area Of Triangle = 1/2× Base × Height
⇒ Base = 13
Now,
⇒ 1/2×13×Height = 30
⇒ 13×Height = 60
⇒ Height = 60/13
∴ Height = 4.61 cm
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