Question

I need help with number 8 and please explain

Answer 1

Answer:

No

The sides of the triangle do not satisfy the Pythagorean Theorem.

Step-by-step explanation:

If we are given the three sides to a triangle, and we are asked to find out if it is a right triangle, we will have to see if the sides of the triangle satisfies the Pythagorean Theorem. The Pythagorean Theorem is:

a² + b² = c²

where c is the hypotenuse and a and b are the other two sides.

So we can see from the image that 28 would be the length of the "hypotenuse" and 19 and 20 would be the lengths of the other two sides. Lets see if these values satisfy the Pythagorean Theorem:

19² + 20² = 28²

361 + 400 = 784

761 ≠ 784

So no, the triangle is not a right triangle because the sides does not satisfy the Pythagorean Theorem.

I hope you find my answer and explanation to be helpful. Happy studying.