Triangle Angle and Side Challenges for Grade 7

A right triangle has one leg measuring 6 cm and a hypotenuse measuring 10 cm. What is the length of the other leg?

• 7 cm

• 5 cm

• 9 cm

• 8 cm

In a triangle, one angle measures 50 degrees and the second angle measures 60 degrees. What is the measure of the third angle?

• 100 degrees

• 90 degrees

• 70 degrees

• 80 degrees

A ladder leans against a wall, forming a right triangle. If the base of the ladder is 4 feet from the wall and the ladder is 10 feet long, how high up the wall does the ladder reach?

• 5 feet

• 8 feet

• 9.17 feet

• 10 feet

A triangle has sides measuring 8 cm and 15 cm. If the angle between these two sides is 30 degrees, what is the length of the third side?

• c = 12 cm

• c = √(289 - 120√3) cm

• c = 17 cm

• c = 10 cm

A triangular park has one side measuring 12 meters and another side measuring 9 meters. If the angle opposite the 12-meter side is 45 degrees, what is the length of the third side?

• 5.5 meters

• 10.5 meters

• 7.07 meters

• 8.3 meters

In a triangle, the lengths of two sides are 7 cm and 24 cm. If the angle opposite the 7 cm side is 30 degrees, what is the length of the third side?

• Approximately 15.75 cm

• Approximately 20.10 cm

• Approximately 22.35 cm

• Approximately 18.52 cm

A triangular roof has a base of 5 meters and a height of 12 meters. What is the length of the slant height of the roof?

• 12.25 meters

• 15 meters

• 10 meters

• 13 meters

A triangle has angles measuring 40 degrees and 70 degrees. What is the length of the side opposite the 40-degree angle if the side opposite the 70-degree angle is 10 cm?

• 7.14 cm

• 8.50 cm

• 5.71 cm

• 4.00 cm

A triangular garden has one side measuring 10 feet and an angle of 60 degrees opposite that side. If the adjacent side is 8 feet long, what is the length of the third side?

• 11.2 feet

• 10.5 feet

• 9.165 feet

• 7.5 feet

In a right triangle, one angle measures 90 degrees, and the other two angles are 30 degrees and 60 degrees. If the side opposite the 30-degree angle is 5 cm, what is the length of the hypotenuse?

• 8 cm

• 12 cm

• 6 cm

• 10 cm