Question

PLEASE HELP WILL MARK BRSINLIEST!!!!!

Answer 1

Answer:

a) Yes

b) Not a right triangle

Step-by-step explanation:

Part (a)

The sum of the lengths of any 2 sides of a triangle is greater than the length of the 3rd side.

7 + 8 = 15 > 9

7 + 9 = 16 > 8

8 + 9 = 17 > 7

Therefore, a triangle with side lengths 7, 8 and 9 can be made.

Part (b)

To determine if the triangle is a right triangle, use Pythagoras' Theorem:

a² + b² = c² (where a and b are the legs, and c is the hypotenuse)

The hypotenuse is the longest side, therefore:

• a = 7
• b = 8
• c = 9

Substituting these values into the formula:

⇒ a² + b² = c²

⇒ 7² + 8² ≠ 9²

⇒ 113 ≠ 81

As  7² + 8² ≠ 9²  then the triangle is not a right triangle.