Question

A triangle has sides 8 cm, 17 cm and 15 cm The area of the triangle is

• A. 50 $c{m}^2$
• B. 68 $c{m}^2$
• C. 40 $c{m}^2$
• D. 60 $c{m}^2$

Answer 1

The correct option is D 60 $c{m}^2$

sides =8 cm, 17 cm and 15 cm
Area of triangle by Hero's Formula,
S=a+b+c/2
$A=\sqrt{s(s-a)(s-b)(s-c)}$
$A=\sqrt{20(20-8)(20-17)(20-15)}$
$A=\sqrt{20\ast 12\ast 3\ast 5}$
$A=\sqrt{4\ast 5\ast 3\ast 4\ast 3\ast 5}$
$A=\sqrt{4\ast 5\ast 3\ast 4\ast 3\ast 5}$
Area = 60cm^2
Answer (D) 60$c{m}^2$