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WorksheetsTriangle Sides and Angles
Total questions: 25
Worksheet time: 28mins
Name
Class
Date
1.
The sides of triangle ΔABC are 22, 24, and 29. Write the order of the sides from greatest to least.
a)
A) BC, BA, AC
b)
B) AC, BA, BC
c)
C) BA, BC, AC
d)
D) BC, AC, BA
2.
Given this triangle, find the values of x and y.
a)
a) x = 83, y = 97
b)
b) x = 97, y = 83
c)
c) x = 75, y = 90
d)
d) x = 96, y = 84
3.
Given triangle ΔABC, name the sides from shortest to longest.
a)
A) BC, BA, AC
b)
B) BC, AC, BA
c)
C) AC, BA, BC
d)
D) BA, BC, AC
4.
In ΔDEF, find the value of x and label the sides from shortest to longest.
a)
a) x = 16; DF, DE, EF
b)
b) x = 15; DE, EF, DF
c)
c) x = 16; EF, DE, DF
d)
d) x = 15; DF, EF, DE
5.
ΔABC is similar to ΔXYZ, with a scale factor of 2. Find the values of x, y, and z, and label the sides of ΔXYZ from greatest to least.
a)
A) x = 19, y = 25, z = 30; XY, YZ, XZ
b)
B) x = 18, y = 24, z = 30; XZ, XY, YZ
c)
C) x = 18, y = 22, z = 29; YZ, XY, XZ
d)
D) x = 16, y = 20, z = 26; XZ, YZ, XY
6.
ΔJKL is an isosceles triangle. Angle J equals 36 degrees. Find the measure of Angle L.
a)
a) L = 36
b)
b) L = 72
c)
c) L = 108
d)
d) L = 96
7.
ΔDEF is congruent to ΔJKL. Find the value of x and y, and label the sides of ΔJKL from shortest to longest.
a)
A) x = 32, y = 47; KL, JL, KJ
b)
B) x = 32, y = 47; JL, KL, KJ
c)
C) x = 47, y = 32; JL, KL, KJ
d)
D) x = 47, y = 32; KJ, JL, KL
8.
Two sides of a triangle are 16 and 32. Find possible lengths for the third side.
a)
a) 16 < x < 48
b)
b) 17 < x < 48
c)
c) 18 < x < 47
d)
d) 16 < x < 47
9.
Three sides of a triangle are 15, 22, and 27. Determine whether the triangle is acute, obtuse, or right.
a)
A) Acute
b)
B) Right
c)
C) Obtuse
10.
ΔLMP is a right triangle. Find the value of x and label the sides from least to greatest.
a)
a) x = 44; PM, LM, PL
b)
b) x = 43; LM, PL, PM
c)
c) x = 44; PL, PM, LM
d)
d) x = 43; PM, LM, PL
11.
ΔABC is congruent to ΔDEF. Find the values of x, y, and z, and label the sides of ΔABC from greatest to least and least to greatest, respectively.
a)
A) x = 79, y = 79, z = 60; AC, AB, BC and BC, AB, AC
b)
B) x = 78, x = 78, z = 60; AC, AB, BC and BC, AB, AC
c)
C) x = 87, y = 87, z = 60; AB, AC, BC and AC, AB, BC
12.
Find the values of x and y.
a)
a) x = 19, y = 161
b)
b) x = 18, y = 162
c)
c) x = 20, y = 162
d)
d) x = 16, y = 164
13.
Find the values of x and y.
a)
A) x = 23, y = 35
b)
B) x = -22, y = -34
c)
C) x = 22, y = 35
14.
Find the perimeter of the triangle, and the measure of angle A.
a)
a) P = 81 in, Angle A = 40
b)
b) P = 81 in, Angle A = 60
c)
c) P = 80 in, Angle A = 50
d)
d) P = 78 in, Angle A = 40
15.
This triangle is 45-45-90. Find the length of x and y.
a)
A) x = 2, y = 2√2
b)
B) x = 2√2, y = 2
c)
C) x = 4, y = 2
d)
D) x = 2√2, y = 2√2
16.
The triangle is 30-60-90. Find the length of x and z.
a)
a) x = 7, z = 14
b)
b) x = 7√3, z = 14√3
c)
c) x = 14√3, z = 7√3
d)
d) x = 14, z = 7
17.
What value of x makes this a 30-60-90 triangle?
a)
A) x = 13
b)
B) 13√3
c)
C) 4.3
d)
D) 1.3
18.
Two sides of a triangle are 8 and 10. What are possible values for the third side?
a)
a) 2 < x < 10
b)
b) 2 < x < 12
c)
c) 2 < x < 18
d)
d) 18 < x < 2
19.
ΔABC is a right triangle. Find the value of x and label the sides from least to greatest.
a)
A) x = 20; BC, AB, AC
b)
B) x = 19; AB, BC, AC
c)
C) x = 20; AC, BC, AB
d)
D) x = 19; BC, AB, AC
20.
A 16 ft ladder rests against the side of a house, and the base of the ladder is 4 ft away from the house. Approximately, how high above the ground is the top of the ladder? (In simplest radical form)
a)
a) 4√15 ft
b)
b) √240 ft
c)
c) 16√15 ft
d)
d) 4√15 cm
21.
Find the value of x and the values of angles X, Y, and Z.
a)
A) x = 16; X = 87, Y = 15, Z = 78
b)
B) x = 15; X = 87, Y = 15, Z = 78
c)
C) x = 16; X = 78, Y = 15, Z = 78
d)
D) x = 15; X = 78, Y = 15, Z = 87
22.
There are three sides in a figure: 12, 13, and 26. Determine whether they can form a triangle and why.
a)
a) No, because 12+13=25<26
b)
b) Yes, because 13+26=39>12
c)
c) No, because 26-12=14<12
23.
Order the angles of ΔABC from least to greatest.
a)
A) a, b, c
b)
B) b, c, a
c)
C) c, a, b
d)
D) a, c, b
24.
A figure has three sides: 12, 15, and 28. Determine if this can be a triangle.
a)
a) No, because 12+15=27<28
b)
b) Yes, because 15+28=43>12
c)
c) Yes, because 12+28=40>15
25.
ΔABC is an equilateral triangle. Find the value of AC.
a)
A) 2
b)
B) 28
c)
C) 1
d)
D) 25
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