Grade 7 · Math

7th grade Can these sides and angles make a triangle? worksheet

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Can these sides and angles make a triangle?

Grade 7 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

1.
Kira sketches a ramp side: one angle of 30°, the 8 cm side next to it, and the 11 cm side across from it. Which describes the triangles Kira can draw?
- No triangle: nothing fits
- More than one triangle: different sizes or shapes fit
- Exactly one triangle: only one size and shape fits
2.
Luz sketches a toy boat sail: one angle of 30°, the 16 cm side next to it, and the 5 cm side across from it. Which describes the triangles Luz can draw?
- Exactly one triangle: only one size and shape fits
- No triangle: nothing fits
- More than one triangle: different sizes or shapes fit
3.
Noah draws a triangle on paper: one angle of 30°, the 6 cm side next to it, and the 9 cm side across from it. Which describes the triangles Noah can draw?
- More than one triangle: different sizes or shapes fit
- No triangle: nothing fits
- Exactly one triangle: only one size and shape fits
Zee has two paper strips, 4 cm and 13 cm, for two sides of a triangle. The third side is a whole number of centimeters. How many different lengths could it be?
Bo draws a tent end with one angle of 65°. A second angle is a whole number of degrees. What is the largest that second angle can be, in degrees?
Esme draws a toy boat sail with one angle of 25°. A second angle is a whole number of degrees. What is the largest that second angle can be, in degrees?
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Three sets of measures are listed in the choices. No picture is drawn.
7.
Noah has three sets of measures for a triangle. Which set can build more than one triangle?
- Sides of 6 cm, 7 cm and 9 cm
- Two angles of 62° and 48° and the 8 cm side between them
- Angles of 30°, 60° and 90°
8.
Pia has three sets of measures for a triangle. Which set can build more than one triangle?
- Two angles of 55° and 75° and the 11 cm side between them
- Angles of 36°, 54° and 90°
- Sides of 9 cm, 10 cm and 24 cm
9.
Ren has three sets of measures for a triangle. Which set can build more than one triangle?
- Sides of 10 cm, 11 cm and 15 cm
- Angles of 50°, 50° and 80°
- Angles of 60°, 70° and 60°
10.
Tala has three sets of measures for a triangle. Which set can build more than one triangle?
- Sides of 14 cm, 15 cm and 30 cm
- Angles of 70°, 40° and 70°
- Angles of 80°, 75° and 90°

7th grade Can these sides and angles make a triangle? worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Can these sides and angles make a triangle?. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can check three sides: the two shorter ones must add to more than the longest, and then they make exactly one triangle.
I can check angles: three angles that add to 180° make many triangles (a small one and a big one), and two angles plus a side make exactly one.
I can tell when two sides and an angle make one triangle (angle between them), none, or more than one (angle not between them).

Standard: 7.G.A.2

Words to know

side: One edge of a triangle. A length such as 8 cm tells how long it is.

angle: The opening at a corner, measured in degrees. A triangle's three angles add to 180°.

between: An angle is between two sides when those two sides meet at its corner.

unique: Only one triangle fits. Any other one is the same shape and size, turned or flipped.

more than one: Different triangles fit: the same angles can make a small and a big triangle.

close up: The ends meet, so the sides make a triangle. Short sides can't reach and close up.

swinging side: A side that turns from a fixed point like a compass arm, touching the base.

Common mistakes

Your child thought three angles that add to 180° make just one triangle. Draw a small triangle and a big one with the same three corners: the angles match, but the sizes do not.

Your child thought three side lengths can build more than one triangle. Try it with three straws: however you move them, the triangle comes out the same shape and size.

Your child did not check the angles against 180°.

What to say

Ask: what do the angles add to, and is there room for a triangle?

Questions parents ask

What is the most common mistake with can these sides and angles make a triangle??

Your child thought three angles that add to 180° make just one triangle. Draw a small triangle and a big one with the same three corners: the angles match, but the sizes do not.

Are these 7th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 7 math

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