in triangle XYZ xy is 4cm, yz is6cm,xz is 5cm. If triangle XYZ is similar to triangle PQR and PQ is 8cm then find QR and PR
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HERE IS YOUR ANSWER:
We are given that triangle XYZ ~ triangle PQR.
Also, in triangle XYZ, YZ = 6 cm, XZ = 5 cm and XY = 4 cm
In triangle PQR, PQ = 4 cm
Since, triangle XYZ ~ triangle PQR
Therefore, XY/PQ = YZ/QR = XZ/PR
So, 4/8 = 1/2
Since ratio of one side of both the triangle is in proportion 1/2, so all sides of both the triangles will have same proportion.
Therefore, YZ/QR = 6/QR =1/2
So, QR = 12 cm
Similarly we can find PR:
XZ/PR = 5/PR = 1/2
Therefore, PR = 10 cm
So we have got both the sides.
HOPE IT HELPS YOU.
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