\triangle ABC\sim \triangle QRS what is the value of x?

nicekikah 2021-08-03 Answered
Given ABCQRS what is the value of x?
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Expert Answer

hosentak
Answered 2021-08-04 Author has 100 answers
Given that ABCQRS
by the corresponding part of similar triangles
A=Q,B=R and C=S
now in ADC and QPS
here ADC=QPS (each 90)
C=S (from above)
using angle angle similarity criteria of triangle
ADCQPS (by angle angle similarity)
by the corresponding part of similar triangles
SQCA=ADQP
x18=1012.5
x=10×1812.5=14.4
x=14.4
this is the required answer.
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