Triangle Angle sum
A triangular support beam for a wooden roof has two base angles that measure (45 degrees) and (55 degrees). What is the measure of the third angle at the peak of the beam?
80 degrees
A student is given three wooden sticks of lengths 3 cm, 4 cm, and 8 cm. Can the student use these three sticks to form a closed triangle?
A factory cuts out two triangular metal sheets. The inspector measures the three edges of both sheets and finds they are exactly 3 inches, 4 inches, and 5 inches. Which math abbreviation shortcut guarantees these two metal sheets are completely identical?
SSS (Side-Side-Side)
A triangular wedge is pushed up against a flat wall. The two far-away inside corners of the wedge measure 40 degrees and 60 degrees. What is the measure of the outside angle formed against the wall?
100 degrees
An architect is designing a modern, triangular art museum. The second interior angle is exactly twice the size of the first angle. The third angle is three times the size of the first angle. Find the measures of all three angles.
30,60,90 degree angles
A triangle has two sides that measure 5 inches and 9 inches. What is the range of possible lengths for the third side?
4<x<14
You are building two matching triangular wooden frames. You cut two pieces of wood to be 4 feet long and two pieces to be 6 feet long. To make sure both finished frames are exactly the same size, where must you place the matching (40 degree) corner angle?
Answer B)
A triangular bike ramp sits on the ground. The outside angle at the top peak is 110 degrees. One of the far-away inside corners on the ground is 50 degrees. What is the measure of the other far-away inside corner?
60 degrees
A surveyor maps out a triangular plot of land. The measures of the three interior angles are in a strict ratio of (3:4:5). Calculate the measure of the largest angle of the plot of land.
75 degrees
A designer wants to make a triangular sign. Two of the sides must be 6 feet and 10 feet long. Which of the following cannot be the length of the third side?
D) 17 feet
A magician cuts a triangular playing card cleanly in half to make two smaller, identical twin triangles. If the shortest side of the first twin triangle is exactly 2 inches long, how long must the shortest side of the second twin triangle be?
2 Inches
An artist draws a triangle. They extend the bottom line to make an outside angle. If the two far-away inside angles are 45 degrees and 45 degrees, which of the following is the correct measure of the outside angle?
90
A custom sailmaker creates a sail shaped like an isosceles triangle. The vertex angle (the unique angle at the top) measures 20 degrees less than four times the measure of one of the matching base angles. What are the three angle measures of the sail?
33.33,33.33, 113.33 or 33 1/3 ,33 1/3 , 113 1/3
The three sides of a triangle measure 4 units, 7 units, and x units. If x is a whole number, what is the largest possible value that x can be?
10 units
Two ramps are built for a skatepark. Both are right triangles. They both have a matching (10 degree)-foot long sloped ramp surface (the hypotenuse) and a matching (3 degree)-foot tall back wall (a leg). What is the name of the special right-triangle rule that proves these two ramps are identical?
HL
A triangular warning sign has an outside angle that measures 120 degrees. The two faraway inside corners are perfectly equal to each other. What is the measure of just one of those inside corners?
60 degrees
A city planner designs a triangular park bounded by three intersecting roads. The difference between the largest angle and the smallest angle is (50 degrees ). The remaining angle is exactly the average of the largest and smallest angles. Determine the measures of all three angles of the park.
35, 60, 85 degrees
A triangle has sides that measure 8 meters, 10 meters, and x + 2 meters. What is the lowest possible whole number value for x?
1
Two triangular pizza slices are exactly congruent (identical). The smallest corner angle on the first slice is (30 degrees). On the second slice, that exact same small corner is labeled as (x + 10). What is the value of (x)?
x=20
A slice of pie is shaped like a triangle. The outside angle at the crust measures 100 degrees. One of the far-away interior angles is 40 degrees, and the other is labeled as (x + 10). What is the value of x?
x=50