Question

Calculați aria unui triunghi care are lungimile laturilor 45 cm , 53 cm, 28 cm

Answer 1

a=45 cm
b=53 cm
c=28cm

$p = \frac{a + b + c}{2} = \frac{45 + 53 + 28}{2} = \frac{126}{2} = 63$

Formula lui Heron:

$A = \sqrt{p(p - a)(p - b)(p - c)}$

$= \sqrt{63(63 - 45)(63 - 53)(63 - 28)}$

$= \sqrt{63 \times 18 \times 10 \times 35}$

$= \sqrt{396900}$

$= 630 \: {cm}^{2}$