Mastering Triangle Angles & Sides: Grade 7 Geometry Quiz

A triangle has two angles measuring 45 degrees each. What is the measure of the third angle?

• 60 degrees

• 75 degrees

• 90 degrees

• 120 degrees

In a right triangle, one angle measures 30 degrees. If the hypotenuse is 10 cm, what is the length of the side opposite the 30-degree angle?

• 10 cm

• 3 cm

• 7 cm

• 5 cm

A ladder leans against a wall forming a right triangle. If the ladder is 15 feet long and the angle between the ground and the ladder is 60 degrees, how high does the ladder reach on the wall?

• 12.99 feet

• 14 feet

• 10.5 feet

• 8 feet

In a triangle, the lengths of two sides are 8 cm and 6 cm. If the angle between these two sides is 45 degrees, what is the length of the third side?

• 10 cm

• √(100 - 48√2) cm

• 5 cm

• 7 cm

A triangular piece of land has angles measuring 50 degrees and 70 degrees. If the side opposite the 50-degree angle is 100 meters, what is the length of the side opposite the 70-degree angle?

• 126.57 meters

• 90.25 meters

• 110.50 meters

• 150.75 meters

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

• 25 cm

• 30 cm

• 20 cm

• 22.9 cm

A construction worker needs to create a triangular roof with one angle measuring 90 degrees and the other two angles measuring 45 degrees each. If one side of the triangle is 12 feet, what is the length of the other two sides?

• 10 feet

• 12 feet

• 8 feet

• 6√2 feet

In a triangle, one angle measures 80 degrees and the side opposite this angle is 10 meters. If the other angle measures 50 degrees, what is the length of the side opposite the 50-degree angle?

• 7.66 meters

• 9.00 meters

• 5.00 meters

• 8.50 meters

A triangular garden has a base of 10 meters and a height of 6 meters. If the angle at the base is 30 degrees, what is the length of the side opposite the 30-degree angle?

• 5 meters

• 6 meters

• 7 meters

• 8 meters