Question

triangle ABC ~ triangle PQR, AB/PQ=7/5 then ..........
(fill in the blank with suitable alternative)
1.triangle ABC is a bigger
2.triangle PQR is bigger
3.both triangles will be equal
4.cannot be decided​

Answer 1

$\LARGE{ \underline{ \blue{ \sf{Required \: answer:}}}}$

When two triangles are similar to each other:

• Their corresponding angles are equal.
• Their corresponding sides are proportional.

As ∆ABC ~ ∆PQR, their corresponding sides are proportional that is 7/5 constant for other corresponding sides also.

GiveN:

• AB / PQ = 7/5

It means that, AB is larger than PQ because the ratio is greater than 1. If AB is larger, then other sides are also larger to their corresponding sides. Hence, ∆ABC in overall is bigger in size as compared to ∆PQR.

Thus, the correct option is (A)

Answer 2

Answer:

$\huge\underbrace\mathfrak\color{lime}{ †\: Solution:–}$

When two triangles are similar to each other:

• Their corresponding angles are equal.
• Their corresponding sides are proportional.

As ∆ABC ~ ∆PQR, their corresponding sides are proportional that is 7/5 constant for other corresponding sides also.

GiveN:

• AB / PQ = 7/5

It means that, AB is larger than PQ because the ratio is greater than 1. If AB is larger, then other sides are also larger to their corresponding sides. Hence, ∆ABC in overall is bigger in size as compared to ∆PQR.

Thus, the correct option is (A)