Let ∆ABC ≈ ∆QPR and Ar(ABC)/Ar(QPR) = 4/25, If AB = 12 cm…

Let ∆ABC ≈ ∆QPR and Ar(ABC)/Ar(QPR) = 4/25, If AB = 12 cm, BC = 8 cm and AC = 10 cm, then QR is equal to:

Show answer & explanation

Correct answer: C

Explanation

Correct Answer is option 3 i.e. 25

Concept

Understanding

Application

If all three angles of 2 triangles are equal, then these two triangles are similar triangles.

And

(Area of triangle₁/ Area of triangle₂) = (Side₁²/Side₂²)

Given

∆ABC ≈ ∆QPR

And

Ar(ABC)/Ar(QPR) = 4/25

Now,

AC²/QR²= 4/25

⇒ AC/QR = 2/5

⇒ 10/QR = 2/5

⇒ QR = 25

SSC CHSL 2019 PYQ — Question 58