Question

the sides of a triangle are 8 cm ,15 cm and 17 cm find the area of the triangle ​​

Answer 1

here s=8+15+17/2

s=40/2

s=20

area of triangle=

$\sqrt{s(s - a)(s - b)(s - c)}$

area of triangle=

$\sqrt{20(20 - 8)(20 - 15)(20 - 17)}$

area of triangle=

$\sqrt{20 \times 12 \times 5 \times 3}$

area of triangle=

$\sqrt{2 \times 2 \times 5 \times 2 \times 2 \times 3 \times 5 \times 3}$

area of triangle=

$\sqrt{2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 5 \times 5}$

area of triangle=2×2×3×5=60cm²