triangle ABC similar triangle pqr if AB equal to 4 cm BC equal to 6 cm AC equal to 5 cm and PQ equal to 8 cm then find the length of remaining sides
Answers
Answered by
14
Answer:
Step-by-step explanation:
TRIANGLE ABC ~TRIANGLE PQR
AB/PQ=BC/QR=AC/PR
AB/PQ=BC/QR
4/8=6/QR
8X6/4=QR
QR=12
SIMILARLY U CAN FIND THE REMAINING SIDES
HOPE IT HELPS
Answered by
0
Answer:
The length of the remaining sides is 12cm and 10cm.
Step-by-step explanation:
Given:
Triangle ABC is similar to triangle PQR.
AB = 4cm, BC = 6cm, AC = 5cm, PQ = 8cm
To find:
Length of remaining sides QR and PR =?
Solution:
It is given that the two triangles are similar. Therefore, the ratio of their corresponding sides will be equal.
AB/PQ = BC/QR = AC/PR
Substituting the given values, we get
4/8 = 6/QR = 5/PR
4/8 = 6/QR
QR = (6×8)/4
QR = 48/4
QR = 12cm
4/8 = 5/PR
PR = (5×8)/4
PR = 40/4
PR = 10cm
Therefore, the lengths of the remaining sides QR and PR are 12cm and 10cm respectively.
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