Question

triangle ABC is similar to triangle DEF such that area of triangle ABC = 36cm square and area of triangle DEF equals 49 cm square then find the ratio of their corresponding sides

Answer 1

Answer:

36:49

Step-by-step explanation:

ar (ABC):ar (DEF)=

36:49

Answer 2

The ratio of their corresponding sides is 6:7.

Step-by-step explanation:

Since we have given that

Ar(ABC ) = 36 sq. cm

Ar(DEF) = 49 sq. cm

Since, ΔABC is similar to ΔDEF,

So, it becomes,

$\dfrac{ar(ABC)}{ar(DFE)}=\dfrac{AB^2}{DE^2}\\\\\dfrac{36}{49}=\dfrac{AB^2}{DE^2}\\\\\dfrac{6^2}{7^2}=\dfrac{AB^2}{DE^2}\\\\\dfrac{AB}{DE}=\dfrac{6}{7}$

Hence, the ratio of their corresponding sides is 6:7.

# learn more:

Tirangle abc similar to triangle def such that area of triangle abc = 36cmsquare and area of triangle def = 49cmsquare then find the ratio of their corresponding sides

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