Question

The sides of a triangle are 40 cm, 24cm
and 32 cm long. Then the area of the
triangle is
O 380 cm2
O 384 cm
O 684 cm
O 830 cm2​

Answer 1

Answer:

A=384cm²

Step-by-step explanation:

Using the formulas

A=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving forA

A=1

4﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=1

4·﹣404+2·(40·24)2+2·(40·32)2-244+2·(24·32)2﹣324= 384cm²

Answer 2

Answer:

b) 384 cm^2

Step-by-step explanation:

$s = \frac{40 + 24 + 32}{2} = \frac{96}{2} = 48$

$\sqrt{s(s - a)(s - b)(s - c)} \\ \sqrt{48(48 - 40)(48 - 24)(48 - 32)} \\ \sqrt{48 \times 8 \times 24 \times 16} = 384 {cm}^{2}$