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How do you find the height of an equilateral triangle if you have the length of the hypotenuse?
An equilateral triangle hasn't a hypotenuse; hypotenuse means the side opposite the right angle in a right triangle. An equilateral triangle has no right angles; rather all three of its angles measure 60 degrees. Knowing the length of the hypotenuse of a right triangle does not give enough information to determine the triangle's height. But the length of a side (which is the same for every side) of an equilateral triangle is enough information from which to calculate the height of that triangle. The first way is simply to use the formula that has been developed for this purpose: height = (length X sqrt(3)) / 2. But you can also use the geometry of right triangles to solve for the height. That is because you can bisect the triangle with a vertical line from the top vertex to the center of the base. The length of that line, which splits the equilateral triangle into two right triangles, is the height of the equilateral triangle. We know a lot about each right triangle formed by bisecting the equilateral triangle: * - The hypotenuse length is the length of the equilateral triangle's side. * - The base length is half the length of the hypotenuse. * - The angle opposite the hypotenuse is 90 degrees. * - The angle opposite the vertical is 60 degrees (the measure of every angle of any equilateral triangle). * - The angle opposite the base is 30 degrees (half of the bisected 60-degree angle). * - (Note that the sum of the angles does equal 180 degrees, as it must.) Now to solve for the height of a right triangle. There are a few ways. For labeling, let's let h=height of the equilateral triangle and the vertical side of the right triangle; A=every angle of the equilateral triangle (each 60o); s=side length of any side of the equilateral triangle and thus the hypotenuse of the right triangle. Since the sine of an angle of a right triangle is equal to the ratio of the opposite side divided by the hypotenuse, we can write that sin(A) = h/s. Solving for h, we get h=sin(A)/s. With trig tables you can now easily find the height.
How do you use the pythagorean theorem to solve for x?
This can only be done in the case of a right angle triangle. If 'x' represents one of the sides then the length of the two other sides must be known.
Which triangle has one right angle and two acute angles?
A triangle with one right angle and two acute angles is called a right triangle. In a right triangle, one of the angles measures 90 degrees, making it a right angle, while the other two angles are acute, meaning they measure less than 90 degrees each. The Pythagorean theorem can be applied to solve for the lengths of the sides of a right triangle.
In triangle ABC B90 b17.5 cm a12.3 cm Solve the triangle?
If it's a right angle triangle then use Pythagoras' theorem to find the 3rd side
An equilateral triangle has an area of 100 cm2 What is the length of a side?
Oh, isn't that a happy little question! To find the length of a side of an equilateral triangle with an area of 100 cm², we can use the formula for the area of an equilateral triangle: Area = (√3 / 4) x side length squared. By plugging in the area of 100 cm², we can solve for the side length, which will be approximately 11.55 cm. Just remember, there are no mistakes in math, only happy little accidents!
The length of the hypotenuse of an isoscales right triangle is 7 meters what is the area of the triangle?
There is not enough information to solve this. You need to know one other length od a side to solve this.
When can you use Pythagorean Theorem to solve a problem please state all the possible answers?
to find the unknown length of the longest side in a right angled triangle provided the length of the other two sides is known.
How do you do special right triangle in math?
Special right triangles include the 45-45-90 triangle and the 30-60-90 triangle. In a 45-45-90 triangle, the legs are equal, and the hypotenuse is ( \sqrt{2} ) times the length of each leg. In a 30-60-90 triangle, the length of the hypotenuse is twice the length of the shorter leg, while the longer leg is ( \sqrt{3} ) times the length of the shorter leg. To solve problems involving these triangles, use these ratios to find unknown side lengths.
What is the length of a of one side of a triangle?
Assuming that you are talking about a right triangle. a2 + b2 = c2 Solve for a a = square root of c2-b2
What can you solve in the Pythagorean theorem?
Given the lengths of two sides of a right triangle, you can find the length of the other side.
The pythagorean theorem can be used to solve what?
the unknown measurement of a side of a triangle
How do you find the height of an isosceles triangle when given only the three side lengths?
Make it a right triangle where one side of the right triangle is half the length of the non-identical side of the isosceles, the hypotenuse of the right triangle is the length of one of the identical sides of the isosceles triangle, then use the Pythagorean theorem. a^2+b^2=c^2. Where "a" is the length of one of the identical sides, and "c" is the length of half the non-identical sides. Solve for "b" and that is your height.
Can you find the length of one side with the hypotenuse and the right angle?
No. You need either another angle or the length of another side. For example, to solve a2 +b2=c2 (the formula for a right triangle, in which c is the hypotenuse) you must have values for 2 variables to solve for the third.
How do you solve for a right triangle?
Pythagorean theorum.
How do you find an angle of a right angled triangle if you know 2 sides?
You use the Pythagorean theorem, which can only be applied to right triangles: a2+b2=c2, where a and b are the triangle's legs and c is the triangle's hypotenuse. Plug the two sides you know into the equation, then solve for the unknown side.
How do you find the length and Height of a right triangle when you have the hypotonuse?
I'm having to go back a long time, but I don't remember being able to solve a triangle from one side and one angle...
How do you find the height of an equilateral triangle if you have the length of the hypotenuse?
An equilateral triangle hasn't a hypotenuse; hypotenuse means the side opposite the right angle in a right triangle. An equilateral triangle has no right angles; rather all three of its angles measure 60 degrees. Knowing the length of the hypotenuse of a right triangle does not give enough information to determine the triangle's height. But the length of a side (which is the same for every side) of an equilateral triangle is enough information from which to calculate the height of that triangle. The first way is simply to use the formula that has been developed for this purpose: height = (length X sqrt(3)) / 2. But you can also use the geometry of right triangles to solve for the height. That is because you can bisect the triangle with a vertical line from the top vertex to the center of the base. The length of that line, which splits the equilateral triangle into two right triangles, is the height of the equilateral triangle. We know a lot about each right triangle formed by bisecting the equilateral triangle: * - The hypotenuse length is the length of the equilateral triangle's side. * - The base length is half the length of the hypotenuse. * - The angle opposite the hypotenuse is 90 degrees. * - The angle opposite the vertical is 60 degrees (the measure of every angle of any equilateral triangle). * - The angle opposite the base is 30 degrees (half of the bisected 60-degree angle). * - (Note that the sum of the angles does equal 180 degrees, as it must.) Now to solve for the height of a right triangle. There are a few ways. For labeling, let's let h=height of the equilateral triangle and the vertical side of the right triangle; A=every angle of the equilateral triangle (each 60o); s=side length of any side of the equilateral triangle and thus the hypotenuse of the right triangle. Since the sine of an angle of a right triangle is equal to the ratio of the opposite side divided by the hypotenuse, we can write that sin(A) = h/s. Solving for h, we get h=sin(A)/s. With trig tables you can now easily find the height.
