What is the area of a triangle whose sides are of lengths 12 cm, 13 cm and 5 cm?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 30 cm2.
Sides of the triangle 12 cm, 13 cm, and 5 cm
semi − perimeter(s) = (a + b + c)/2
⇒ s = (5 + 12 + 13)/2
⇒ s = 30/2
⇒ s = 15 cm
Area of the triangle (according to the Heron's Formula)
⇒ √[s(s − a)(s − b)(s − c)]
⇒ √[15(15 − 5)(15 − 12)(15 − 13)]
⇒ √[15(10)(3)(2)]
⇒ √900 = 30 cm2