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Question

# The sides of a triangle are 8cm, 15cm and 17cm. find its perimeter and its area. Also find the length of the altitude drawn on the side with length 17cm.

Hint:

## The correct answer is: 7.05 cm

### Let a = 15 cm , b = 8 cm , c = 17 cm

Perimeter = Sum of all sides = a + b + c

= 15 + 8 + 17 = 40 cm

Using Heron’s formula,

Area of triangle = where s =

s = = 20

Area of triangle =

=

= (4)(5)(3) = 60 cm^{2}

Also, Area of triangle = b h

60 = 17 h

h = ⇒ h = 7.05 cm

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