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Answer 1

Answer:

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Answer 2

Step-by-step explanation:

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10th

Maths

Triangles

Pythagoras Theorem and its Converse

In ABC , AD is perpendicul...

MATHS

In △ABC, AD is perpendicular to BC. Prove that :AB

2

+CD

2

=AC

2

+BD

2

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MEDIUM

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ANSWER

Since triangles ABD and ACD are right-angled triangles at D.

∴ AD

2

=AD

2

+BD

2

.....(i)

and, AC

2

=AD

2

+CD

2

.....(ii)

Subtracting (ii) from (i), we get

AB

2

−AC

2

=BD

2

−CD

2

⇒ AB

2

+CD

2

=AC

2

+BD

2

[Hence proved]