Understanding the Perimeter of a 30-60-90 Triangle

The video tutorial explains how to find the perimeter of a 30-60-90 right triangle when the short leg is 4 cm. It describes the properties of such triangles, where the hypotenuse is twice the short leg, and the longer leg is the short leg times the square root of 3. Using these properties, the video calculates the hypotenuse as 8 cm and the longer leg as 4√3 cm. Finally, it sums these lengths to find the exact perimeter as 12 + 4√3 cm, approximately 18.93 cm.

What is the short leg length of the 30-60-90 triangle in the problem?

• 5 cm

• 4 cm

• 3 cm

• 2 cm

Tags

CCSS.8.G.B.8

In a 30-60-90 triangle, if the short leg is 1 unit, what is the length of the hypotenuse?

• 1 unit

• √3 units

• 2 units

• 3 units

Tags

CCSS.8.G.B.8

How do you calculate the hypotenuse if the short leg of a 30-60-90 triangle is 4 cm?

• Multiply by 4

• Multiply by √3

• Multiply by 2

• Multiply by 3

Tags

CCSS.HSG.SRT.C.8

What is the length of the longer leg in the triangle if the short leg is 4 cm?

• 4 cm

• 8 cm

• 4√3 cm

• 2√3 cm

Tags

CCSS.3.MD.D.8

What is the approximate perimeter of the triangle in centimeters?

• 20.93 cm

• 22.93 cm

• 18.93 cm

• 16.93 cm

Tags

CCSS.3.MD.D.8