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Sides of two similar triangles are in the ratio 3:8. Areas of these triangles are in the ratio
  • a)
    16: 81
  • b)
    9: 64
  • c)
    64: 9
  • d)
    27: 512
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Sides of two similar triangles are in the ratio 3:8. Areas of these tr...
Let

the first triangle side be 3 units while other be 8units..

we know area of triangle is = 1/2 *base * height.

IT IS STATED THAT TRIANGLES ARE SIMILAR SO AS PER BPT THEOREM

PQ/LN = QR/LM= PR/MN

Ratio of ∆ PQR and ∆ LMN = 1/2 *3*3/1/2*8*8..
.here 1/2 will be cut .
THUS,

∆ PQR/ ∆ LMN = 9/64 ...


THUS ,THE RATIO IS 9:64
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Community Answer
Sides of two similar triangles are in the ratio 3:8. Areas of these tr...
Options B
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Sides of two similar triangles are in the ratio 3:8. Areas of these triangles are in the ratioa)16: 81b)9: 64c)64: 9d)27: 512Correct answer is option 'B'. Can you explain this answer?
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