39. Prove that : In a right triangle, the square of the hypotenuse is equal to the sun
square of the other two sides
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Answered by
0
Answer:
Refer to NCERT Maths Book Class 10 Ch-6 Pg No. 145 Theorem 6.8 . It surely help u.
Answered by
1
Step-by-step explanation:
GIVEN :-ABC is a right triangle
TO PROVE :- AC^2 = AB^2+BC^2
CONSTRUCTION:- Draw BD perpendicular to PROOF:- ∆AD÷AC=AB÷AC
AD.AC = AB^2. (1)( by cross multiplication)
∆BDC similar to∆ABC
CD÷BC = BC÷AC
CD . AC = BC^2. (2)
Adding (1) and (2)
AD.AC +CD.AC =AB^2+BC^2
AC (AD+CD) = AB^2+BC^2
AC.AC = AB^2+BC^2
AC^2 = AB^2+ BC^2
HENCE PROVED
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