Pythagorean Theorem, Special Right Triangles, SOH-CAH-TOA

A right triangle has a hypotenuse of √157 units and one leg is 7 units. What is the value of the other leg? (Hint: a right triangle, given 2 sides & missing 1 side= Pythagorean Theorem: a² + b² = c²)

• √204

•     2√51

• 6√3

• 2√26

Which of the following sets of numbers represents segments that would form a right triangle?

•     5, 3.2, 4.1

• 4.5, 8, 6.7

• 3.6, 6, 4.8

• 8.5, 5.2, 10

A triangle has sides of length of 4.7 inches and 8 inches. Which of the following CANNOT be the length of the third side?

• 7 inches

• 5 inches

• 3 inches

• `4 inches

In right triangle ABC, the measure of angle B = 30 degrees, and the length of the hypotenuse BC= 17 feet. What is the length, in feet, of leg AC?

• 34 feet

• 8.5 feet

• 17√2 feet

• 17 feet

Which equation can be used to find the value of KM in the right triangle shown below?

• Sin 38˚= 26.5 / KM

• Tan 90˚= 26.5 / KM

• Cos 38˚= KM / 26.5

• Cos 38˚= 26.5 / KM

  In scalene triangle FGH, <G is 64˚and <H is 23˚. What is the order of the sides in length from longest to shortest?

•  FG, FH, GH

• FG, GH, FH

• GH, FH, FG

• HG, FG, FH

•   7/9

• √130 / 9

• 7√130 / 130

• 9/7

Three homes are positioned relative to each other to form an isosceles right triangle, as shown below. What is the distance in centimeters between the centers of the houses located at B and C?

• 3.6 cm

• 7.2 cm

• 14.4 cm

• 3.6√2 cm

In the triangle below, which of the following is equivalent to Sin A?

• b/c

• a/c

• c/a

• b/a