Question

# Find the :

a. Area of triangle whose three sides are 8 cm, 15 cm, 17 cm long

b .Find the altitude from opposite vertex to the side whose length is 15cm

Hint:

## The correct answer is: a) 60 cm2 ,b) 8 cm

### It is given that a = 8 , b = 15 , c = 17

(a) Using heron’s formula

Area of triangle = where s =

s = = 20

Area of triangle =

=

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

(b) It is given that base, b = 15 cm

Let height be h

Area of triangle =

60 =

8 = h

So, height of the triangle = 8 cm

NOTE – We can prove that given triangle is a right-angled triangle using Pythagoras theorem.

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