Table of Contents
- 1 What is the hypotenuse length of a 30 60 90 triangle?
- 2 How long is the hypotenuse of a 30 60 90 right triangle if the measure of a longer leg is 12 cm?
- 3 What is the length of the hypotenuse of a 30-60-90 right triangle if the length of the shorter leg is 5 cm?
- 4 What is the formula for 30 60 90 Triangle?
- 5 What is the length of the long leg in a 30-60-90 triangle?
- 6 How to find the missing sides of a 30-60-90 triangle?
What is the hypotenuse length of a 30 60 90 triangle?
40 feet
Now we know that the hypotenuse (longest side) of this 30-60-90 is 40 feet, which means that the shortest side will be half that length. (Remember that the longest side is always twice— 2 x —as long as the shortest side.)
How long is the hypotenuse of a 30 60 90 right triangle if the measure of a longer leg is 12 cm?
6√3 cm
This problem mentions a 30° – 60° – 90° triangle with sides of length n, n√3, 2n. The longest side, the hypotenuse, is 12 cm (so, n=6 cm) and the longer leg is 6√3 cm.
What is the length of the hypotenuse of a 30 60 90 right triangle if the length of the shorter leg is 4cm?
Diagonal = hypotenuse = 8cm. Substitute. The shorter side of the right triangle is 4cm, and the longer side is 4√3 cm. The length measuring 8 inches will be the shorter leg because it is opposite the 30-degree angle.
How do you find the hypotenuse?
How do I find hypotenuse with sin?
- Perform the sin operation on the angle (not the right angle).
- Divide the length of the side opposite the angle from step 1 by the result of step 1.
- The result is the hypotenuse.
What is the length of the hypotenuse of a 30-60-90 right triangle if the length of the shorter leg is 5 cm?
What is the length of the hypotenuse of a 30-60-90 right triangle, if the length of the shorter leg is 5cm. David W. For 30-60-90 triangle, if the shorter leg is x, then the hypotenuse is 2x, and the other leg is x*SQRT(3). So, the Pythagorean Theorem gives 1 + 3 = 4.
What is the formula for 30 60 90 Triangle?
In a 30-60-90 triangle, the ratio of the sides is always in the ratio of 1:√3: 2. This is also known as the 30-60-90 triangle formula for sides. y:y√3:2y. Let us learn the derivation of this ratio in the 30-60-90 triangle proof section.
What is the perimeter of 30 60 90 Triangle?
perimeter equals 30.05 in – adding all sides gives that result perimeter = a + a√3 + 2a = a(3 + √3) ≈ 30.05 in.
How to calculate the hypotenuse of a triangle?
We know that the hypotenuse of this triangle is twice the length of the short leg: 3.46 k m 2 = 1.73 k m We also know that the long leg is the short leg multiplied times the s q u a r e r o o t o f 3: 1.73 × 3 ≈ 3 k m
What is the length of the long leg in a 30-60-90 triangle?
In 30-60-90 triangle, where the length of the long leg is 9, what is the length of the hypotenuse and the short leg? These can be considered ratios. If you look at it in terms of sine and cosine, this becomes a bit clearer, since sine and cosine gives you the ratio of the sides:
How to find the missing sides of a 30-60-90 triangle?
1 The hypotenuse (the triangle’s longest side) is always twice the length of the short leg 2 The length of the longer leg is the short leg’s length times √3 3 3 If you know the length of any one side of a 30-60-90 triangle, you can find the missing side lengths
Which is longer the short leg or the hypotenuse?
One of the original base sides will be cut in half to form the short leg. So the short leg is exactly half the hypotenuse. Which means the hypotenuse is exactly twice as long as the short leg. 2 x 4 = 8.