Renee is creating a diagram to prove that a certain triangle is a right triangle. In her diagram, she uses three white quadrilat
erals that are squares. Which diagram could be the one that Renee is creating
1 answer:
Answer:
Option D
Step-by-step 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)
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