Respuesta :

Answer:

1. Right Triangle

2. Obtuse Triangle

3. Acute Triangle

Step-by-step explanation:

Obtuse Triangle

If the square of the length of the longest side of the triangle is greater than the sum of the squares of the lengths of the other two sides, then the triangle is obtuse

c² > a² + b²

Acute Triangle

If the square of the length of the longest side of the triangle is less than the sum of the squares of the lengths of the other sides, then the triangle is acute

c² < a² + b²

Right Triangle

If the sum of the squares of the lengths of two sides of a triangle is equal to the square of the length of the third side, then the triangle is a right triangle.

c² = a² + b²

Now lets begin

1. 14, 48, 50

14² + 48² = 50²

196 + 2,304 = 2,500

2,500 = 2,500

Since the two smaller side lengths squared are equal to the largest side length squared, the triangle is a right triangle

2. 15, 12, 6

6² + 12² = 15²

36 + 144 = 225

180 = 225

Since 180 is less than 225, we change the = to <

180 < 225

Since the two smaller side lengths squared is less than the largest side length squared, the triangle is an obtuse angle

3. 7, 11, 9

7² + 9² = 11²

49 + 81 = 121

130 = 121

Since 130 is greater than 121, we change the = to >

130 > 121

Since the two smaller side lengths squared are greater than the largest side length squared, the triangle is an acute triangle

ACCESS MORE