Two similar triangles of ΔXYZ and ΔLMN. If area of (ΔXYZ)…

Two similar triangles of ΔXYZ and ΔLMN. If area of (ΔXYZ) = 16 cm² , area of (ΔLMN) = 25 cm² and YZ = 2.4 cm, then the measure of MN is:

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Correct answer: A

Explanation

The correct answer is Option 1 i.e. 3 cm.

Given that

ΔXYZ and ΔLMN are simmilar

Ar(ΔXYZ) = 16 cm²

Ar(ΔLMN) = 25 cm²

When 2 triangles are similar, the ratio of their areas = square of the ratio of their sides

⇒ $\frac{ArΔXYZ}{ArΔLMN}$ = ( $\frac{YZ}{MN}$ )²

Substituting the values we get

MN = 3 cm

SSC CPO 2024 PYQ — Question 101