Leg Rule Altitude Rule Triangles

Find the length of the missing side. 

• 20 in.

• 68 in.

• 16 in.

• 80 in.

Find the perimeter of a triangle that has legs that are 3 cm and 4 cm. 

• 5

• 7

• 10

• 12

Suppose the sun casts a shadow off a 35-foot building. If the angle of elevation to the sun is 60 degrees, how long is the shadow to the nearest tenth of a foot?

Find x.  Use "Altitude Rule".

• 3√5

• 6

• 6√5

• 4

Find y.  Use "Leg Rule".

• 3√5

• 6

• 6√5

• 4

Find z.  Use "Leg Rule".

• 3√5

• 6

• 6√5

• 4

Find the value of x in simplest radical form.

• 7

• 3√17

• √149

• √51

Find the side length of a 45-45-90 triangle with an 8cm hypotenuse. Leave your answer in simplest radical form.

• 4 cm

• 4√2 cm

• 8√2 cm

• 5.7 cm

Find the value of each variable in simplest radical form. Use special right triangle formulas.

• x = 3√3; y = 3

• x = 3; y = 3√3

• x = 3; y = 3

• x = 3√5; y = 3√2

Find the value of each variable in simplest radical form. Use special right triangle formulas.

• x = 5; y = 10

• x = 5√3; y = 10√3

• x = 15; y = 15√2

• x =15; y = 15√2