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 cm2
(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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