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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 |
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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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