Pythagorean Triangle Mysteries: Find the Missing Parts

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?

• 7 cm

• 5 cm

• 9 cm

• 8 cm

In a triangle, one angle measures 90 degrees, and the other two angles are equal. If the total angle sum is 180 degrees, what are the measures of the other two angles?

• Each of the other two angles measures 50 degrees.

• Each of the other two angles measures 30 degrees.

• Each of the other two angles measures 45 degrees.

• Each of the other two angles measures 60 degrees.

A triangle has sides measuring 5 cm, 12 cm, and a missing side. Can you find the length of the missing side if it is a right triangle?

• 13 cm

• 9 cm

• 15 cm

• 10 cm

A triangle has angles measuring 30 degrees and 60 degrees. What is the measure of the third angle?

• 45 degrees

• 75 degrees

• 90 degrees

• 120 degrees

In a right triangle, one leg is 8 cm long, and the hypotenuse is 10 cm. What is the length of the other leg?

• 12 cm

• 4 cm

• 6 cm

• 8 cm

A triangle has sides of lengths 7 cm, 24 cm, and a missing side. Is this triangle a right triangle? If so, find the missing side.

• The triangle is a right triangle with the missing side of 30 cm.

• The triangle is not a right triangle and the missing side is 15 cm.

• The triangle is a right triangle with the missing side approximately 10 cm.

• The triangle is a right triangle with the missing side approximately 22.9 cm.

If a triangle has one angle measuring 45 degrees and another measuring 45 degrees, what type of triangle is it?

• Obtuse triangle

• Equilateral triangle

• Scalene triangle

• Isosceles right triangle

A right triangle has a hypotenuse of 13 cm and one leg of 5 cm. What is the length of the other leg?

• 10 cm

• 12 cm

• 14 cm

• 8 cm

In a triangle, if one angle is 70 degrees and the other is 40 degrees, what type of triangle is it based on its angles?

• acute triangle

• scalene triangle

• obtuse triangle

• right triangle

A triangle has sides measuring 9 cm, 12 cm, and a missing side. Can you determine if this triangle is a right triangle and find the missing side?

• The missing side is 14 cm, and the triangle is an obtuse triangle.

• The missing side is 10 cm, and the triangle is not a right triangle.

• The missing side is 13 cm, and the triangle is a right triangle.

• The missing side is 15 cm, and the triangle is a right triangle.