LOVE OR LIE
Any lengths of the sides can be used to form a triangle.
LIE - Any lengths of the sides cannot be used to form a triangle
13, 24, 25
YES
If two angles of a triangle are not congruent, then the larger side is __________ to the larger angle.
OPPOSITE
Jake is designing a photo frame as a Valentine’s gift. To make it stand upright, he builds a triangular support at the back. He measures two of the angles in the triangular stand and finds that they are 50° and 70°. To ensure the stand is stable, he needs to determine the measure of the third angle. What is the measure of the missing angle in the triangular stand?
60°
The smallest side of a triangle is opposite to the smallest angle.
LOVE
x, y, x + y
NO
The sum of any two sides of a triangle must always be __________ the third side.
GREATER THAN
Lorna is designing a heart-shaped Valentine’s card for her friend. As the base of the design, she cuts out a large triangle with side lengths of 8 cm, 12 cm, and 15 cm. She wants to place a decorative ribbon at the largest angle of the triangle to make the card look more elegant. Where should Lorna place the ribbon?
AT THE OPPOSITE ANGLE OF 15 CM SIDE.
If c is unknown, (a - b) < c > (a + b) represents the range of possible value for c.
LIE - If c is unknown, (a - b) < c < (a + b) represents the range of possible value for c.)
27, 27, 38
YES
The sum of interior angles of a triangle is __________
180°
For a special celebration at school, the decorating team is creating a large triangular frame for a photo booth. They already have two wooden poles measuring 8 feet and 17 feet, but they still need to decide on the length of the third pole. To ensure that the frame forms a valid triangle, what is the possible range of lengths for the third pole?
9 < c < 25