The three sides of a triangle are 7 cm, 9 cm and 8 cm. What is the area of the triangle?
Answer & explanation
Correct answer: option 1
We know that,
Area of a triangle = \(\sqrt {s(s-a)(s-b)(s-c) }\)
and semi perimeter = \(\frac{a + b + c}{2}\)
Length of the three sides of the triangle: 7 cm, 9 cm, and 8 cm
So,
Semi perimeter = \(\frac{7 + 9 + 8}{2}\) = 12
Area of a triangle = \(\sqrt {12(12-7)(12-9)(12-8) }\)
= \(\sqrt {12(5)(3)(4) }\) = 12\(\sqrt {5}\)