Question

In triangle MNP,if angle N =90, then prove that MP2 =MN2+NP2​

Answer 1

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer 2

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

Learn  More:

different approaches of Pythagoras theorem​ - Brainly.in

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In A MNP, if angle N = 90°, then prove that MP2 = MN2 + NP2.​

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