Question

A triangular piece of fabric has side lengths of 3 inches, 4 inches, and 5 inches. Will it fit in the corner of a rectangular quilt? Explain.

Yes, because it is a right triangle.


Yes, because it is an isosceles triangle.


No, because it is an equilateral triangle.


No, because it is an obtuse triangle.

Answer 1

yes because it is a right triangle

Explanation:

if you apply the pythagorean theorem a squared plus b squared equals c squared. c being the hypotenuse, the longest side. so 3x3 + 4x4 = 25 and 5x5 is 25. This confirms that it is a right triangle because pythagoras's theorem only works with right triangles. Also, every angle of a rectangle is a right angle (90 degrees) meaning that the triangle will fit in any and every corner! Hope this helped!