Question

What is the perimeter of a 30-60-90 triangle whose hypotenuse is 8cm long?

Answer 1

Step-by-step explanation:

We know that, in a right angle triangle, the ratio of sides

are(30,60,90):

1:✓3:2 where 2units = 8cm

Hence, the perimeter = (3+✓3)×4 = 12+4✓3cm

Answer 2

The perimeter of the triangle is $12+4 \sqrt{3}$ inches.

Step-by-step explanation:

Consider the provided information.

The lengths of the sides of a 30-60-90 triangle are in the ratio 1:2:√3

The hypotenuse is twice as long as the side opposite the 30° angle.

The hypotenuse is 8 cm long.

hypotenuse is equal to 2x = 8 inches,  

Therefore the value of x is 4.

The length of the longer leg is $4 \sqrt{3}$

The length of smaller led is 4.

The perimeter of the triangle is the sum of all sides.

$P=8+4+4 \sqrt{3} = 12+4 \sqrt{3}$

Hence, the perimeter of the triangle is $12+4 \sqrt{3}$ inches.

#Learn more

What is the perimeter of a 30-60-90 triangle whose hypotenuse is 10cm long?

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