Question

heron's formula for the triangle 9cm × 8cm × 7cm

Answer 1

Step-by-step explanation:

s=a+b+c/2

s=9+8+7/2=24/2=12

area of triangle=√s(s-a)(s-b)(s-c)

=√12(12-9)(12-8)(12-7)

=√12x3x4x5

=√720

=12√5 units

Answer 2

$s = \frac{a + b + c}{2} = \frac{9 + 8 + 7}{2} = \frac{24}{2} = 12$

$area \: \: of \: \: triangle = \\ \sqrt{s(s - a)(s - b)(s - c)}$

$\sqrt{12 (12 - 9)(12 - 8)(12 - 7)}$

$\sqrt{12 \times 3 \times 4 \times 5}$

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

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

$12 \sqrt{5} {cm}^{2}$