In a right-angled triangle, the square of the length of the hypotenuse [i]c[/i] equals to the sum of the squares of the lengths of the other two sides [i]a[/i] and [i]b[/i].

Note: A [i]right angled triangle[/i] is a triangle that has a right angle. The [i]hypotenuse[/i] is the side opposite the right angle.

[size=100]I. Complete the equations based on the Pythagorean Theorem.[br][list=1][*][size=100][i]c[sup]2 [/sup]= d[sup]2[/sup] + ___[/i][/size][/*][*][size=100][i] ___ = a[sup]2 [/sup] + e[sup]2[/sup][/i][/size][/*][*][size=100][i](a+d)[sup]2[/sup]= ____ + ____[/i][/size][/*][/list][/size]

Pythagoras theorem is basically used to find the length of an unknown side and angle of a triangle. By this theorem, we can derive base, perpendicular and hypotenuse form[br][br]Applications of Pythagoras Theorem[list][*]To know if the triangle is a [url=https://byjus.com/maths/right-angle-triangle/]right-angled triangle[/url] or not.[/*][*]In a right-angled triangle, we can calculate the length of any side if the other two sides are given.[/*][*]To find the diagonal of a square.[/*][/list][br]