Question

Aria unui triunghi dreptunghic este de 24 cm2 iar  ipotenuza de 10 cm. Aflati perimetrul.

Answer 1

Scrii aria in 2 moduri.
$A = \frac{AB AC}{2}$ ⇒ $24 = \frac{AB AC}{2}$ ⇒ 
$A = \frac{BC AD}{2}$ ⇒ $24 = \frac{10 AD}{2}$ ⇒ 24 = 5 · AD ⇒ $AD = \frac{24}{5}$ cm

Dupa care, te duci in prima relatie ⇒ $24 = \frac{AB \frac{24}{5} }{2}$ ⇒ $48 = \frac{24AB}{5}$ ⇒ 24 · AB = 240 ⇒ AB= 10 cm

Iar apoi perimentrul : P = AB + BC + AC
$P = 10 + 10+ \frac{24}{5}$ ⇒ $P = \frac{100+96}{5}$ ⇒ P = $\frac{196}{5}$  cm