Question

Apply the Triangle Inequality Theorem to determine if sides with lengths of 3 feet, 4 feet, and 5 feet form a triangle.(1 point)
Responses

Yes, because the sum of any two sides is less than the third side.
Yes, because the sum of any two sides is less than the third side.

No, because two out of three conditions are met.
No, because two out of three conditions are met.

No, because the sum of any two sides is less than the third side.
No, because the sum of any two sides is less than the third side.

Yes, because the sum of any two sides is greater than the third side.

Answer 1

If a right triangle has an angle that is 65° , what is the third angle in the triangle?(1 point)

Answer 2

Yes, because the sum of any two sides is greater than the third side.

Answer 3

Since a right triangle has one angle measuring 90°, the sum of the three angles in the triangle is 180°.

Given that one angle measures 65°, let's denote the third angle as x.

Therefore, the equation for the sum of the angles in the triangle is:

65 + 90 + x = 180

Simplifying the equation:

155 + x = 180

Subtracting 155 from both sides of the equation:

x = 180 - 155

x = 25

Therefore, the third angle in the triangle measures 25°.