A triangle has angle measures A = 50◦, B = 80◦. What is the measure of angle C?
50◦
100
What must a triangle be for you to be able to use the Pythagorean Theorem?
A right triangle.
100
The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the sliding board?
10 feet
100
Is it a triangle? The side lengths measures are 7,5,10. (Hint: Use Pythagorean Theorem)
YES
100
Line segment AC = 47. If AC = AB + BC, and AB = 14, what is BC equal to?
33
200
Draw an example of acute, obtuse, and right triangles. Label the angles.
200
Which of these two triangles is a right triangle? Triangle A has side lengths 6.4, 12, and 12.2. Triangle B has side lengths 2.1, 7.2, and 7.5.
Triangle B
200
If two congruent angles form a supplementary pair they are both obtuse. True or false?
FALSE
200
Is it a triangle? <1 = 54, <2 = 17, <3 = 100
NO
200
Line segment DE = 114. It is broken up into 3 parts. Part 1 = 24. Part 2 = 15. Part 3 = 3x - 15. What is the value of x?
30
300
Angles
x = 37
300
A right triangle has side lengths d,e,f, with f being the hypotenuse. Solve for the missing side length if d = 15 and f = 17.
8
300
Steve ran a total of 12 miles today. Kate met up with him halfway through his run, and then quit with 4 miles left. How many miles did Kate run.
2 miles
300
Is it a triangle? Side a = 3. Side b = 4. Side c = 5. If it is a triangle, classify what kind of triangle.
YES; Special right triangle.
300
Line segment WY = 48. WY = WX + XY. If WX = 4x - 3 and XY = 3x+2, find the value of WX.
25
400
< BAC is equivalent to < DAC.
Both angles are equal to 13 degrees.
400
Jogger A runs 8 miles north. Jogger B runs 5 miles west. What is the shortest distance between the two? You must show a drawing. Round your answer to the nearest hundredth.
9.43
400
The measure of an angle is 15 more than its complement. What is the measure of both angles?
m<1 = 37.5, m<2 = 52.5.
400
Is it a triangle? If so, classify the type. m
Yes; Isosceles.
400
The vertices of a right triangle are (-1,4), (4,3), (1,1). Draw the triangle and label the points.
500
M
65◦
500
A ship leaves port and sails 12 km West and then 19 km North. How far is the ship from the port?
22.47 km
500
There are two supplementary angles. The measure of one supplementary angle is 4 more than 3 times the first. What are the measures of both angles?
m<1 = 44, m<2 = 136
500
Is it a triangle? If yes, find the unknown side length. m
What is 6.63
500
Line segment PR is unknown. However, PR = PQ + PR. PQ = 2x+1. PR = x. When PQ = 25, what does PR equal? Draw a picture.