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Standard XII

Mathematics

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Ler Δ A B C...

Question

Ler $Δ A B C \sim Δ D E F$ and their areas be respectively, 64 ${c m}^{2}$ and 121 ${c m}^{2} .$ If EF $= 15.4$ find BC

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Solution

$Δ A B C \sim Δ D E F$

$\frac{a r e a o f Δ A B C}{a r e a o f Δ D E F} = \frac{64}{121}$

$\frac{B C^{2}}{E F^{2}} = \frac{64}{121} = {(\frac{8}{11})}^{2}$

$\frac{B C}{E F} = \frac{8}{11}$

$\frac{B C}{15.4} = \frac{8}{11}$

$B C = \frac{8 \times 15.4}{11}$

$= 8 \times 1.4$

$= 11.2$

$∴ B C = 11.2 c m$ .

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Ler ΔABC∼ΔDEF and their areas be respectively, 64cm2 and 121cm2. If EF =15.4 find BC

ΔABC∼ΔDEFareaofΔABCareaofΔDEF=64121BC2EF2=64121=(811)2BCEF=811BC15.4=811BC=8×15.411=8×1.4=11.2∴BC=11.2cm.

Ler $Δ A B C \sim Δ D E F$ and their areas be respectively, 64 ${c m}^{2}$ and 121 ${c m}^{2} .$ If EF $= 15.4$ find BC