Exploring Triangle Types: Sides, Angles, and Similarity

A right triangle has one leg measuring 6 cm and the other leg is missing. If the hypotenuse is 10 cm, what is the length of the missing leg?

• 9 cm

• 7 cm

• 8 cm

• 5 cm

Tags

CCSS.8.G.B.7

In an isosceles triangle, the two equal sides measure 8 cm each. If the base is 6 cm, what is the height of the triangle?

• 7.42 cm

• 5 cm

• 8 cm

• 9 cm

Tags

CCSS.6.G.A.1

A triangle has sides measuring 5 cm, 12 cm, and a missing side. If the triangle is a right triangle, what is the length of the missing side?

• 10.91 cm

• 8 cm

• 15 cm

• 6.5 cm

Tags

CCSS.8.G.B.8

Two similar triangles have a ratio of 3:5. If the shorter side of the smaller triangle is 9 cm, what is the length of the corresponding side in the larger triangle?

• 20 cm

• 15 cm

• 12 cm

• 18 cm

A triangle has angles measuring 30°, 60°, and 90°. If the shortest side is 5 cm, what is the length of the longest side?

• 8 cm

• 12 cm

• 6 cm

• 10 cm

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

In a triangle, one angle measures 45° and the side opposite this angle is 7 cm. If the triangle is similar to another triangle, what is the length of the corresponding side in the second triangle if the ratio of similarity is 2:1?

• 14 cm

• 10 cm

• 5 cm

• 3.5 cm

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

A triangle has sides of lengths 7 cm, 24 cm, and a missing side. If it is known that the triangle is a right triangle, what is the length of the missing side?

• 20 cm

• 26 cm

• 30 cm

• 25 cm

Tags

CCSS.8.G.B.8

In an equilateral triangle, if one side measures 10 cm, what is the length of each of the other sides?

• 10 cm

• 5 cm

• 15 cm

• 12 cm

Tags

CCSS.2.G.A.1

A triangle has sides measuring 9 cm, 12 cm, and a missing side. If the triangle is isosceles, what could be the length of the missing side?

• 10 cm

• 15 cm

• 9 cm or 12 cm

• 8 cm

Two congruent triangles have a side measuring 15 cm. If one triangle is scaled down to half its size, what will be the length of the corresponding side in the smaller triangle?

• 15 cm

• 7.5 cm

• 12.5 cm

• 10 cm

Tags

CCSS.8.G.A.3