The area of a triangle whose perimeter is 36 cm and length of two sides is 17 cm and 9 cm will be:
Answer & explanation
Correct answer: option 3
Length of third side = 36 - 17 - 9 = 10 cm
We know that ,
Area of Triangle = \(\sqrt {S(S-a)(S-b)(S-c) }\)
( Where , S is semi perimeter )
= \(\sqrt {18 (18-17)(18-9)(18-10) }\)
= \(\sqrt {18 × 1 × 9 × 8 }\)
= \(\sqrt {1296 }\)
= 36 cm²