1.

The heights of two similar right angled triangles ΔDEF and ΔPQR are 48 cm and 24 cm respectively. If PQ is equal to 6 cm, find the value of side DE? 1. 6 cm2. 12 cm3. 24 cm4. None of these

Answer» Correct Answer - Option 2 : 12 cm

Given:

ΔDEF ∼ ΔPQR

Height of ΔDEF/Height of ΔPQR = 48 cm/24 cm

Concepts used:

If two triangles are similar, the ratio of corresponding sides is equal to ratio of corresponding heights.

Calculation:

ΔDEF ∼ ΔPQR

Height of ΔDEF/Height of ΔPQR = DE/PQ

⇒ 48/24 = DE/6 

⇒ 2 = DE/6

⇒ DE = 2 × 6

⇒ DE = 12 cm.

∴ The value of side DE is 12 cm.



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