answersLogoWhite

0


Best Answer

By using trigonometry or using Pythagoras' theorem for a right angle triangle.

User Avatar

Wiki User

9y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How do you solve the hypotenuse of triangle APC if angle P is a right angle?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Math & Arithmetic

How do you solve sohcahtoa?

It means for any right angle triangle:- sine = opposte/hypotenuse cosine = adjacent/hypotenuse tangent = opposite/adjacent


How do you solve right triangle?

A right triangle has three sides. If you label the sides connected to the right angle side A and side B, and the hypotenuse side C, A^2+B^2=C^2.


What are the two lengths of the legs of a right angle triangle with a hypotenuse of 4.2 with total area of 18?

Not enough information has been given to solve this problem.


How can you solve for angle A when only side a and side b of a right triangle are given in trigonometric functions?

It depends on the relationship of the sides to the angle. Assuming that neither side a or side b are the hypotenuse (longest side of the right triangle) and that side A is opposite the angle A and side b is closest (adjacent) to angle A then side a over side b will give the tangent of the angle A. If either side a or side b is the hypotenuse then when multiplied together their relationship to the angle A will give either the Sine or the Cosine of the angle A. Tangent = Opposite side / Adjacent side. Sine = Opposite / Hypotenuse. Cosine = Adjacent / Hypotenuse. A full explanation with diagram is at the related link below:


The length of the hypotenuse of a triangle is 20 what is the shorter leg?

You need to know something else to solve: either the long leg or the angle edit: if it is a right triangle you can use a theorem to figure out the other sides. the smallest side is a, the hypotenuse is 2a, the longer leg is a * sqrt (3) if the hypotenuse is 20, the smaller leg is 10.

Related questions

How do you solve sohcahtoa?

It means for any right angle triangle:- sine = opposte/hypotenuse cosine = adjacent/hypotenuse tangent = opposite/adjacent


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 right triangle?

A right triangle has three sides. If you label the sides connected to the right angle side A and side B, and the hypotenuse side C, A^2+B^2=C^2.


What are the two lengths of the legs of a right angle triangle with a hypotenuse of 4.2 with total area of 18?

Not enough information has been given to solve this problem.


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 can you solve for angle A when only side a and side b of a right triangle are given in trigonometric functions?

It depends on the relationship of the sides to the angle. Assuming that neither side a or side b are the hypotenuse (longest side of the right triangle) and that side A is opposite the angle A and side b is closest (adjacent) to angle A then side a over side b will give the tangent of the angle A. If either side a or side b is the hypotenuse then when multiplied together their relationship to the angle A will give either the Sine or the Cosine of the angle A. Tangent = Opposite side / Adjacent side. Sine = Opposite / Hypotenuse. Cosine = Adjacent / Hypotenuse. A full explanation with diagram is at the related link below:


The length of the hypotenuse of a triangle is 20 what is the shorter leg?

You need to know something else to solve: either the long leg or the angle edit: if it is a right triangle you can use a theorem to figure out the other sides. the smallest side is a, the hypotenuse is 2a, the longer leg is a * sqrt (3) if the hypotenuse is 20, the smaller leg is 10.


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.


Prolem and solution of right triangle?

Pythagorean Theorum. A2+B2=C2 That is the topic of study in trigonometry. Trig gets into the trig functions (sine, cosine, tangent...) and since the subject is quite involved, it can't be adequately explained in this type of setting. However... Imagine a right angle triangle, any right angle triangle (that means a triangle in which one side has 90 degrees but you don't necessarily know any other angle of the triangle. If you want to know a specific angle of the triangle (other than the right angle), you COULD measure two lengths of the triangle and calculate the angle using trig functions. The hypotenuse is the segment of the triangle that is opposite the right angle. To calculate the angle in question, measure the OPPOSITE segment (that means the segment that is furthest from the angle), then measure the hypotenuse (explained above). At that point you divide the length of the opposite segment by the length of the hypotenuse and look up the results in your handy sine table (or use your calculator if it has trig functions) and it will give you the angle. Phew! That was a long explanation, and to go into trig functions any further would require a classroom, but basically that's how you would solve a right triangle question.


How do you solve for side b in a right triangle when angle a is 40 degrees and the hypotenuse is 15?

I'll take a shot at this, but it's all assumptions and guesswork, since the question is so ambiguous:-- The question doesn't state how many sides the figure has, or whether the 'b' is an angle or a side.-- Assume that we're working with a right triangle, because the question uses the word "hypotenuse".-- Assume that the 'b' it's asking for is another angle, besides the 40-degree angle given.-- If it's a triangle, then the sum of the 3 interior angles is 180 degrees.-- If it's a right triangle, then one of the interior angles is 90 degrees.-- The missing angle is [ 180 - 90 - 40 ] = 50 degrees.The length of the hypotenuse makes no difference, but we're very happy thatyou said the magic word "hypotenuse".


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.


How do you use the basic trigonometry functions?

To find unknown sides or angles of a triangle. For triangle ABC, if C is a right angle and you are using angle A the side a is the opposite of A, side b is the adjacent side of angle A and c is the hypotenuse. Ex: Sin A = a/c, if you know any 2 you can solve for the 3rd. Cos A = b/c, if you know any 2 you can solve for the 3rd. Tan A = a/b, and again, if you know any 2 you can solve for the 3rd.