Question

Renee is creating a diagram to prove that a certain triangle is a right triangle. In her diagram, she uses three white quadrilaterals that are squares. Which diagram could be the one that Renee is creating

Answer 1

Option D

Explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are right angled triangle, scalene triangle, equilateral triangle and isosceles triangle.

A right angled triangle is a triangle in which one of the angles is 90°. The side opposite the 90° is known as the hypotenuse while the remaining sides is known as the leg. Let us assume a right triangle with legs of a, b and a hypotenuse of c. Then using Pythagoras theorem:

c² = a² + b²

From the options, option d is the correct option.

For option D, the hypotenuse is c and one leg is a. Let x represent the second leg. Hence:

c² = a² + x²

x² = c² - a²

x = √(c² - a²)

Therefore the other leg would be √(c² - a²)