Question

if triangle ABC is similar to triangle DEF such that BC equals to 5 cm equal to ef 6 cm and area of triangle ABC equals to 125 CM square find the area of triangle DEF​

Answer 1

HEY MATE!!

HERE IS YOUR ANSWER!!

ABC ~ DEF

BC = 5cm

DE = 6cm

A(ABC) = 125 cm^2

$\frac{abc}{def} = \frac{ {bc}^{2} }{ {ef}^{2} }$

$\frac{125}{def} = \frac{ {5}^{2} }{ {6}^{2} }$

$\frac{125 \times 36}{25} = def$

$a(def) = 180 {cm}^{2}$

Thus the area of triangle DEF is 180 sq. cn.

PLEASE MARK BRAINIEST!!!!!

Answer 2

(area of triangle def ) = =180 CM²

Step-by-step explanation:

BC = 5 cm

EF = 6 cm

area of triangle ABC = 125 CM²

(area of triangle ABC)/(area of triangle ABC) = 5²/6²

125/ (area of triangle DEF) = 25 /36

(area of triangle def ) = 125 * 36 /25

                                    = 36 * 5 = 180 CM²