The sides of a triangle are 8cm, 12cm and 16cm. What is the area of the triangle?
Answer & explanation
Correct answer: option 4
We have three sides of a triangle =
Let a = 8 cm
= b = 12 cm
= c = 16 cm
Semi Perimeter(s) = \(\frac{(a + b + c)}{2}\) = \(\frac{(8 + 12 + 16)}{2}\) = 18
The area of the triangle = \(\sqrt {18 (18-8)( 18-12)( 18-16) }\)
= \(\sqrt {18 (10)( 6)( 2) }\) = \(\sqrt {2160 }\) = 12\(\sqrt {15}\)