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BAL GOVIND

· started a discussion

· 1 Months ago

Why is angle 90

Question:

ABCD is a horizontal square. The diagonals of the square intersect at O. A vertical rod OP of length 40 cm is fixed perpendicularly at O. If each side of the square is 20 cm, then the length of the side PA approximately will be:

Options:
A) 28.3 cm
B) 35.6 cm
C) 42.4 cm
D) 44.4 cm
Solution:
Ans: (c)


AB = 20 cm, AC = \(20\sqrt{2}\) cm,  AO = \(10\sqrt{2}\) cm

\(\therefore\) AP2 = AO2 + OP2  = \((10\sqrt{2})^2\) + (40)2 = 200 + 1600 = 1800

\(\Rightarrow\)AP = \(\sqrt{1800}\) = 42.4 cm (approx.)

Knowledge Expert

· commented

· 1 Months ago

Dear student
ABCD is a horizontal base square and OP
is a verticle rod so it will make an
angle of 90 degree.


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