Answer:
No
Step-by-step explanation:
What is the Pythagorean Theorem?
The Pythagorean Theorem states that, for a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of lengths of the other two sides:
[tex]\boxed{a^2 + b^2 = c^2}[/tex],
where c is the hypotenuse, and a and b are the 'legs' (other two sides) of the triangle.
This theorem applies to all right triangles, and therefore a triangle has to obey it in order to be a right triangle.
For the triangle given in the question, the hypotenuse is 20 cm, therefore the sum of the squares of lengths of the legs must be equal to (20 cm)² = 400 cm².
Let's check if this is the case:
20² = 11² + 15²
400 = 121 + 225
400 ≠ 346
As the sum of squares of the legs does not equal the square of the hypotenuse, the triangle is not a right triangle.
Learn more about the Pythagorean Theorem here:
https://brainly.com/question/11480842
