8-1: Special Right Triangles Task Cards

Find the length of the legs of the right triangle. Leave your answer in simplest radical form, if necessary.

• x = 20 cm

• x = 10√2 cm

• x = 20√2 cm

• x = 5√2 cm

Find the length of the legs of the right triangle. Leave your answer in simplest radical form, if necessary.

• a = 5√3 m, b = 5 m
• a = 5 m, b = 10/3√3 m,
• a = 10√2 m, b = 5√3 m,
• a = 5 m, b = 5√3 m,

Find the length of the hypotenuse of the right triangle. Leave your answer in simplest radical form, if necessary.

• c = 4√2 ft
• c = 16 ft
• c = 8√2 ft
• c = 8 ft

Find the length of the short leg and the hypotenuse of the right triangle. Leave your answer in simplest radical form, if necessary.

• a = 3√3 in, c = 6√3 in
• a = 6√3 in, c = 3√3 in
• a = 9/2 in, c = 6√3 in
• a = 3√3 in, c = 18 in

Find the length of the leg and the hypotenuse of the right triangle. Leave your answer in simplest radical form, if necessary.

• x = 6 ft, y = 12 ft
• x = 6 ft, y = 6√2 ft

• x = 6√2 ft, y = 6√2 ft

• x = 6√2 ft, y = 12 ft

Find the length of the legs of the right triangle. Leave your answer in simplest radical form, if necessary.

• x = 10√2 m
• x = 30√3 m
• x = 15√3 m
• x = 15√2 m

Find the length of the long leg and the hypotenuse of the right triangle. Leave your answer in simplest radical, if necessary.

• x = 21 cm, y = 7√3 cm

• x = 7√3 cm, y = 21 cm

• x = 14 cm, y = 7√3 cm

• x = 7√3 cm, y = 14 cm

Find the length of the legs of the right triangle. Leave your answer in simplest radical form, if necessary.

• a = 4 in, b = 4√3 in

• a = 4√3 in, b = 4 in

• a = 3√3 in, b = 4√3 in

• a = 8√3 in, b = 4√3 in

Find the length of the short leg and the hypotenuse of the right triangle. Leave your answer in simplest radical form, if necessary.

• a = 5√3 ft, c = 20 ft
• a = 10√3 ft, c = 20 ft
• a = 20√3 ft, c = 10√3 ft
• a = 10√3/3 ft, c = 20√3/3 ft

Find the length of the long leg and the hypotenuse of the right triangle. Leave your answer in simplest radical form, if necessary.

• x = 8√3 m, y = 12√3 m
• x = 12 m, y = 8√3 m
• x = 6√3 m, y = 8√3 m
• x = 12 m, y = 12√3 m