Question

the triangle with the side lengths 5, 7, and 9 units is an acute, right, or obtuse triangle.

Answer 1

Answer:

obtuse because it third side is so smaller

Answer 2

Since the sum of the squares of the two sides is less than the square of the third side, the given triangle is obtuse-angled.

Given:

the three sides of a triangle are: 5, 7, and 9

To Find:

we need to find if the given triangle is an acute, right, or obtuse triangle
Solution:

we know that if a triangle is a right-angled triangle, then the sum of the squares of two sides of the triangle is equal to the square of the third side.

Here, 5² = 25

7² = 49

9² = 81

as we can see 25 + 49 = 74

and 74 ≠ 81

74 < 81

Since the sum of the squares of the two sides is less than the square of the third side, the given triangle is obtuse-angled.

#SPJ3