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# Trying to find the answer of this triangles hypotenuse

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• paulgbrandon Mar 29, 2015

Hi John , I want to help you with your question, but I need more information from you. Can you please add details in the comment box? The information of "this triangle" is missing in order to find the hypotenuse.

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The formula for a hypotenuse is a ^2 + b^2 = c^2, where a and b are the sides and c is the hypotenuse.

For example, if the sides are 3cm and 4cm, calculate the hypotenuse.

3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2

To get c by itself, we have to take the square root of each side.

25^ (1/2) = (c^2)^(1/2)
5 = c

Good luck.

Paul
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Posted on Mar 29, 2015

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## Related Questions:

### If the length of hypotenuse of a right angled triangle is 5cm, its area is 6 sqcm. then the length of the remaining sides are

The Pythagorean Theorem states for a right triangle
A squared + B squared = C squared
where C is the hypotenuse.

if the hypotenuse is 5cm, then the remaining sides have to be 3cm & 4cm

Also called the 3,4,5 right triangle.

Sep 11, 2017 | The Office Equipment & Supplies

### Formula to calculate hyportenuse

The formula to calculate the hypotenuse of a right angled triangle is a^2 + b^2 = c^2 or in words, a squared plus b squared is equal to c squared. The most common mistake is that students make the hypotenuse a squared or b squared. The hypotenuse has to be c squared. Thus, when figuring out the sides of a right-angled triangle, always make sure the hypotenuse is the longest side.

For example, a triangle with sides of length 3 and 4, calculate the hypotenuse. Let a be 3 and b be 4. 3^2 + 4^2 = c^2 or 9+16 = c^2, or 25 = c^2. Now take the square root of both sides and we get c = 5.

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### Calculate hypotenuse

"Hypotenuse" implies a right angle triangle is wanted here. With Pythagoras' Theorem it is always good to look first for a 3-4-5 pattern, the simplest ratio, although a right angle triangle easily can be other ratios too.

24 x 32 is (3 x 8) x (4 x 8) so it is a 3-4-5 triangle after all, and the hypotenuse is then 5 x 8 = 40

Or, you could calculate SQRT (24^2 + 32^2) = 40

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### How do I input into the calculator sin squared 45. The answer is 0.75 but how do I go about it on the calculator?

SOHCAHTOA.

Sine is the Opposite divided by the Hypotenuse.
Let's use a triangle with both sides equal to 1 and the hypotenuse will be a^2 + b^2 = c^2, or 1^2 + 1^2 = c^2, or c^2 = 2, so c = square root (2).

So in this triangle, the sin 45 degrees is 1/square root 2 or 0.7071.

Sin square 45 is really sin 45 squared. So we get our answer 0.7071 and square it, and we get 0.5.

Good luck.

Paul

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### Find the value of x in the 45-45-90 triangle. write your answer in racial form

in a 45-45-90 triangle, the lengths of the sides are in a ration, 1:1:√2, so if you have one side of the triangle, such as a leg, with the value in the ratio of 1, simply multiply that given number by √2 to get the hypotenuse, if you're instead given the hypotenuse, simply divide by √2 to get the answer for one of the legs. The legs of a 45-45-90 triangle are equal.
I hope this helps!

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### Can you gave me a example of a right triangle problems?

In right triangle we are making 90 degree angle triangle, we can have problem for finding hypotenuse or finding sin or cos values of the side of the triangle. For ex,Find out the hypotenuse,sin and cos value of the right triangle with base 4 cm and perpendicular 3 cm Solution:Hypotenuse = SQRT(4^2 + 3^2) =SQRT(4*4 + 3*3) =SQRT(16+9)=SQRT(25)=5 cm For right triangle, sin(x)=3/5=0.6 cos(x)=4/5 =0.8

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### Trigonometric function

The 3 trig functions most commonly
used in triangle calculations are

sine = Opposite/Hypotenuse Co secant = Hypotenuse/Opposite

Hope this helps Loringh

Oct 12, 2008 | Measuring Tools & Sensors

### Trying to find the hypotenuse of a trangle

A squared + B squared = C squared
15 squared + 15 squared = C Squared
225 + 225 = c squared
450 = c squared
the square root of 450 is 21.21320433

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