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Date:
PQRS is Square T & U are respectively, the
midpoints of ps& QR . Find the area of ∆ OTS
if PQ= 8cm, where is the point of intersection
of TU and QS?
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Step-by-step explanation:
- PQRS is a square where PQ=8cm which means PQ=QR=RS=8cm.
- T and U are mid points of PS and QR, so when we draw a line from T to U the midpoint of that line becomes O
- as we want the area of triangleOTS the side
- OT becomes half of the side PQ which is 8÷2=4
- side TS becomes half of the side PS=8÷2=4
- Now ,the area of a triangle=1/2×b×h
- 1/2×4×4=8sqcm.
- therefore, area of triangleOTS=8sqcm and the intersection point is at O
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