In A MNP, if angle N = 90°, then prove that MP2 = MN2 + NP2.
Answers
Answer:
This is Pythagoras Theorm. Detailed answer is given below!
Step-by-step explanation:
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Otherwise the others are too complicated.
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Given : In triangle MNP,if angle N is 90°,
To prove : MP²= MN²+NP²
Solution:
MNP is right angled triangle at N
Sin ( angle) = Perpendicular / hypotenuse
Sin ∠M = NP/MP
Cos ( angle) =Base / hypotenuse
Cos ∠M = MN/MP
Sin² M + Cos² M = 1
=> (NP/MP)² + (MN/MP)² = 1
=> NP² + MN² = MP²
=> MP² = MN² + NP²
QED
Hence proved
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