Right Triangle Geometry Chapter 9 Review Big Ideas

Use the angles to classify the triangles

Tags

CCSS.4.G.A.2

Use the angles to classify the triangles

Tags

CCSS.4.G.A.2

Use the angles to classify the triangles

Tags

CCSS.4.G.A.2

Find the measure of the missing angle in the triangle.

Tags

CCSS.7.G.B.5

A right triangle has legs of 6 cm and 8 cm. What is the length of the hypotenuse?

• 10 cm

• 12 cm

• 14 cm

• 16 cm

Tags

CCSS.8.G.B.7

A ladder is leaning against a wall, reaching a height of 12 feet. If the base of the ladder is 5 feet from the wall, what is the length of the ladder?

• 13 feet

• 17 feet

• 12 feet

• 15 feet

Tags

CCSS.8.G.B.8

The sides of a right triangle are 7 cm, 24 cm, and 25 cm. Which side is the hypotenuse?

• 7 cm

• 24 cm

• 25 cm

• None of the above

Tags

CCSS.HSG.CO.C.10

If a right triangle has legs measuring 5 cm and 12 cm, find the hypotenuse.

• 13 cm

• 17 cm

• 15 cm

• 10 cm

Answer explanation

To find the hypotenuse of a right triangle, use the Pythagorean theorem: a^2 + b^2 = c^2. Substituting the values (5^2 + 12^2 = c^2), we get c = 13 cm. Therefore, the hypotenuse is 13 cm.

Tags

CCSS.8.G.B.7

A square and a right triangle share the same side length of 8 cm for the square's side and the triangle's hypotenuse. What is the length of one of the legs of the right triangle?

• 6 cm

• 5.6 cm

Tags

CCSS.8.G.B.7

A triangle has sides measuring 5 cm, 12 cm, and 13 cm. Is this a right triangle?

• Yes

• No

Tags

CCSS.8.G.B.8