Question

The property which says h2=p2+b2

Answer 1

Answer:

It's Pythagoras property which states that the square of the hypotaneous is equal to the sum of the square of the perpendicular with the square of the base.

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Answer 2

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides of the triangle.

Now,

In a right triangle, side opposite to the 90° is always the hypotenuse. The square of the side opposite of the 90° in a right triangle is equal to the sum of squares of the other two sides.

Here,

∆ ABC is a right triangle, right angled at B. AC is the hypotenuse of the right ∆ ABC.

So, the square of AC = the sum of the squares of the other two sides AB and BC.

that is, AC² = AB² + BC²

or, hypotenuse (h)² = perpendicular (p) ² + base (b)² [Pythagoras Theorem]

Hence, proved.