a thombus is 96 sq m. If its perimeter is 32 m, find its altitude,
ABCD is a square of side 14 cm and AED and BEC are semi-circles as shown in the figure. Find the area
of the shaded region
D
А
B
titude corresponding
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: The sides AB and CD of a quadrilateral ABCD
are extended to points P and Q respectively. Is
∠ADQ + ∠CBP = ∠A + ∠C? Give reason.
Solution : Join AC, then
∠CBP = ∠BCA + ∠BAC and
∠ADQ = ∠ACD + ∠DAC
(Exterior angles of triangles)
Therefore, ∠CBP + ∠ADQ = ∠BCA + ∠BAC + ∠ACD + ∠DAC
= (∠BCA + ∠ACD) + (∠BAC + ∠DAC)
= ∠C + ∠A
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see the pic that i have attached
hope this helps...
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