Mathematics
Angle AOB is:
60°
90°
45°
none of these
Pythagoras Theorem
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Answer
5, 12, and 13 are pythagorean triplets.
As,
132 = 122 + 52
So, side BO = 13 units is the hypotenuse.
We know that,
Angle opposite to hypotenuse is a right-angle triangle.
So, ∠OAB = 90°
According to angle sum property,
⇒ ∠OAB + ∠ABO + ∠AOB = 180°
⇒ 90° + ∠ABO + ∠AOB = 180°
⇒ ∠ABO + ∠AOB = 180° - 90°
⇒ ∠ABO + ∠AOB = 90°
Thus, ∠AOB, ∠ABO cannot be defined individually.
Hence, option 4 is the correct option.
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Ranbeer runs 10 km due North and 24 km due West. The distance between his two position is:
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Angle AOB is:
60°
90°
45°
none of these