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Leg of 30-60-90 triangle is 16 square root of 3 how long is the shorter leg?
Wiki User
∙ 11y ago
16 because if the long leg is 16 times the square root of 3 the little leg has to be 16 and the hypotenuse hast to be 32 because the ratios in a 30-60-90 triangle are 1:2:sqrt3. If we say that the square root of three is about 1.7 and take that times 16 we get 27.2. Using the Pythagorean theorem we get 27.2 squared+16 squared=about the square root of 995.84 which is about 32 so it works. You can check the answer if you want to make sure.
Wiki User
∙ 11y ago
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Are true statements about a 30-60-90 triangle?
.The hypotenuse is twice as long as the shorter leg The longer leg is twice as long as the shorter leg.
How long is the longer side of a golden triangle when the shorter side is 7 inches?
A golden triangle is an isosceles triangle such that bisecting one of the equal angles produces a new triangle that is similar to the original. It can be shown that the original triangle must be 72-72-36 degrees. Using trigonometry, or the similarity, it can be shown that the long sides were (1+Φ) times the shorter, where Φ is the golden ratio. So with the shorter side being 7 inches, the longer were 18.3 inches, approx.
The area of a right triangle is 36 square meters The height is twice as long as the base How long is the shorter leg of the triangle?
A = .5*h*b = 36 m2 h = 2b substitute for h in the first equation with the second equation: .5*(2b)*b = 36 m2 b2 = 36 m2 b = 6 m
How long is the shorter leg of a right triangle with a side of 8 inches and a hypotenuse of 40 inches?
A right triangle with a hypotenuse of 40 inches and a side of 8 inches has a leg length of 39.19 inches so the shorter leg IS 8 inches.
The hypotenuse of a right triangle is 6 meters long One leg you 1 meter than the other what is the length of the shorter leg?
5.91 m.
Are true statements about a 30-60-90 triangle?
.The hypotenuse is twice as long as the shorter leg The longer leg is twice as long as the shorter leg.
The hypotenuse of a right triangle is 20 cm long and the shorter leg of the triangle is 6 cm long what is the measure of the smaller acute angle of the triangle?
The measure of the smaller acute angle of the triangle is: 17.46 degrees.
What are true statements about a 30-60-90 triangle?
the longer leg is root 3 times as long as the shorter leg, and the hypotenuse is twice as long as the shorter leg.
Which of the following are true statements about a 30-60-90 triangle?
The hypotenuse is twice as long as the shorter leg AND The longer leg is 3 times as long as the shorter leg.
How long is the longer side of a golden triangle when the shorter side is 7 inches?
A golden triangle is an isosceles triangle such that bisecting one of the equal angles produces a new triangle that is similar to the original. It can be shown that the original triangle must be 72-72-36 degrees. Using trigonometry, or the similarity, it can be shown that the long sides were (1+Φ) times the shorter, where Φ is the golden ratio. So with the shorter side being 7 inches, the longer were 18.3 inches, approx.
What statements are true about a 30-60-90 degree triangle?
That will depend upon the statements of which none have been given about a right angle triangle.
The hypotenuse of a triangle is 15 feet long The longer of the two legs is three feet longer than the other Find the length of the shorter leg?
The shorter leg is 9 feet long
The hypotenuse of a triangle is 10 feet long The longer of the two legs is two feet longer than the other Find the length of the shorter leg?
The shorter leg is 6 feet long
The legs of a right triangle are 21 and 28 inches long what is the are of the triangle?
The area is 294 square inches.
The area of a right triangle is 36 square meters The height is twice as long as the base How long is the shorter leg of the triangle?
A = .5*h*b = 36 m2 h = 2b substitute for h in the first equation with the second equation: .5*(2b)*b = 36 m2 b2 = 36 m2 b = 6 m
How long is the shorter leg of a right triangle with a side of 8 inches and a hypotenuse of 40 inches?
A right triangle with a hypotenuse of 40 inches and a side of 8 inches has a leg length of 39.19 inches so the shorter leg IS 8 inches.
A right triangle has one leg three times as long as the other Find a function that models its perimeter P in terms of the length x of the shorter leg?
The perimeter is the sum of all of the sides of the triangle. If the shorter leg is x, the longer leg is 3x. The hypotenuse is then the square root of x^2 + 3x^2, or 2x. Then the perimeter is x + 3x + 2x, simplified, f(x) = 6x.
