Solving Angles and Sides of a Triangle

The sides of triangle ΔABC are 22, 24, and 29. Write the order of the sides from greatest to least.

• A) BC, BA, AC
• B) AC, BA, BC
• C) BA, BC, AC
• D) BC, AC, BA

Given this triangle, find the values of x and y.

• a) x = 83, y = 97
• b) x = 97, y = 83
• c) x = 75, y = 90
• d) x = 96, y = 84

Tags

CCSS.8.G.A.5

Given triangle ΔABC, name the sides from shortest to longest.

• A) BC, BA, AC
• B) BC, AC, BA
• C) AC, BA, BC
• D) BA, BC, AC

In ΔDEF, find the value of x and label the sides from shortest to longest.

• a) x = 16; DF, DE, EF
• b) x = 15; DE, EF, DF
• c) x = 16; EF, DE, DF
• d) x = 15; DF, EF, DE

Tags

CCSS.8.G.B.8

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) x = 19, y = 25, z = 30; XY, YZ, XZ
• B) x = 18, y = 24, z = 30; XZ, XY, YZ
• C) x = 18, y = 22, z = 29; YZ, XY, XZ
• D) x = 16, y = 20, z = 26; XZ, YZ, XY

Tags

CCSS.HSG.SRT.A.2

ΔJKL is an isosceles triangle. Angle J equals 36 degrees. Find the measure of Angle L. 

• a) L = 36
• b) L = 72
• c) L = 108
• d) L = 96

Tags

CCSS.8.G.A.5

ΔDEF is congruent to ΔJKL. Find the value of x and y, and label the sides of ΔJKL from shortest to longest. 

• A) x = 32, y = 47; KL, JL, KJ
• B) x = 32, y = 47; JL, KL, KJ
• C) x = 47, y = 32; JL, KL, KJ
• D) x = 47, y = 32; KJ, JL, KL

Tags

CCSS.HSG.CO.B.7

Two sides of a triangle are 16 and 32. Find possible lengths for the third side.

• a) 16 < x < 48
• b) 17 < x < 48
• c) 18 < x < 47
• d) 16 < x < 47

Three sides of a triangle are 15, 22, and 27. Determine whether the triangle is acute, obtuse, or right. 

• A) Acute
• B) Right 
• C) Obtuse

Tags

CCSS.HSG.CO.C.10

ΔLMP is a right triangle. Find the value of x and label the sides from least to greatest. 

• a) x = 44; PM, LM, PL
• b) x = 43; LM, PL, PM
• c) x = 44; PL, PM, LM
• d) x = 43; PM, LM, PL

Tags

CCSS.HSG.CO.C.10