in the diagram triangle, ABC is similar to triangle XYZ. AB=3 BC=8 YZ=12 ZX=15
calculate XY
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Answer:
61 cm . pythagoras theorem
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Given : triangle, ABC is similar to triangle XYZ. AB=3 BC=8 YZ=12 ZX=15
To Find : XY
Solution:
ΔABC ≈ Δ XYZ
Ratio of corresponding sides of similar triangle is same
AB/XY = BC/YZ = AC/XZ
AB = 3
BC = 8
YZ = 12
3/XY = 8/12
=> 3/XY = 2/3
=> XY = 3 x 3/ 2
=> XY = 9/2
XY = 9/2
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