Question

The sides of a triangle are 3 cm, 5 cm and 6 cm. What is its area?
1 point
2√3cm2
2√14cm2
5√12cm2
2√5cm2​

Answer 1

Answer:

a = 3 cm

b = 5 cm

c = 6 cm

$s = \frac{a + b + c}{2}$

$s = \frac{3 + 5 + 6}{2}$

$s = \frac{14}{2} \: cm$

$s = 7$

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

$= \sqrt{7(7 - 3)(7 - 5)(7 - 6)} \: {cm}^{2}$

$= \sqrt{7 \times 4 \times 2 \times 1} \: {cm}^{2}$

$= \sqrt{7 \times (2 \times 2) \times 2 \times 1} \: {cm}^{2}$

$= 2 \sqrt{7 \times 2 \times 1} \: {cm}^{2}$

$= 2 \sqrt{14} \: {cm}^{2}$

$=> 2 \sqrt{14}$