Question

give two examples of inverse Pythagoras theorem​

Answer 1

Answer:

In △EGF, by Pythagoras Theorem:

EF2 = EG2 + FG2 = b2 + a2 …………(1)

In △ABC, by Pythagoras Theorem:

AB2 = AC2 + BC2 = b2 + a2 …………(2)

From equation (1) and (2), we have;

EF2 = AB2

EF = AB

⇒ △ ACB ≅ △EGF (By SSS postulate)

⇒ ∠G is right angle

Thus, △EGF is a right triangle.

Hence, we can say that the converse of Pythagorean theorem also holds.

Hence Proved.

Answer 2

Answer:

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Step-by-step explanation:

two examples of inverse Pythagoras theorem are

Question 1: The sides of a triangle are 7, 11 and 13. Check whether the given triangle is a right triangle or not using Inverse Pythagoras theorem

Question 2: The sides of a triangle are 5, 12 and 13. Check whether the given triangle is a right triangle or not using Inverse Pythagoras theorem

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