Solving for Sides of a Right Triangle

Given right triangle ∆ABC, ∠C=90⁰, ∠A=60⁰, AC=10, find side AB.

• 8.66

• 5

• 11.55

• 20

Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 

• 63 ft

• 65 ft

• 74 ft

• 87 ft

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree.  The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse? 

• 7.5 ft 

• 15 ft 

• 26 ft 

• 30 ft 

Which is the ratio of the legs in a right triangle?

• tangent

• sine

• cosine

• secant

To which shape(s) does the Pythagorean theorem apply?

• All triangles

• Right triangles only

• Some right triangles and some isosceles triangles 

• Right triangles and circles.

The Pythagorean theorem states that:

• The two smaller sides of a right triangle sum to equal the longest side.

• The squares of the two smaller sides of a right triangle sum to equal the square of the longest side.

What is the final step in solving this work for c?
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²

• Divide both sides by 2

• Take the square root of both sides

What is the formula for finding the hypotenuse?

• a²⁺b²=c²

• a+b=c

• a-b=c

• c-a=c

The longest side of a right triangle is called the...

• leg A

• leg B

• hypotenuse

• right angle

solve for x

• 5552363959656.

• 10

• 100

• 89