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The vertices of a right triangle are (5,-2), (0,6),(0,-2). What is the length of the hypotenuse?

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We are not a math website. P{lease contact your math professor.

Posted on May 18, 2017

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How to use tan and cos


In any right angled triangle, for any angle:

  1. The sine of the angle = the length of the opposite side. the length of the hypotenuse.
  2. The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
  3. The tangent of the angle = the length of the opposite side. the length of the adjacent side.

Mar 16, 2017 | Office Equipment & Supplies

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What is the length of the hypotenuse of the right triangle ABC in the figure? A. 5.8 B. 11.0 C. 7.2 D. 6.2


Hi David:
You've got me confused.
A triangle has 3 sides. You have provided 4 lengths and no picture.
The hypotenuse is joins the 2 sides that are the "legs" of the right angle.
The length of the hypotenuse is the square root of the sum of the squares of the sides.
Just apply the "rule" to the appropriate dimensions.
Cheers

May 06, 2016 | Office Equipment & Supplies

1 Answer

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.

Feb 18, 2015 | Office Equipment & Supplies

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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

Aug 12, 2014 | Computers & Internet

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Given a length of 30 cm on the x axis and a length of 10 cm on the y axis and a angle of 90 at the x/y axis intersection is there a short cut to calculate interior angles and hypot. of the triangle?


Yes, there is shortcut because this is right triangle, so you can use Pythagorean theorem (see picture).
  1. Length of hypotenuse is square root of sum of squares of lengths of other two sides of triangle, which is equal to square root of 30^2+10^2=31.6 cm.
  2. Sin(a)=longer cathetus/hypotenuse=0.949 so a=arcsin(0.949)=71.6 degrees
  3. Finally b=90-a=18.4 degrees.
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Sep 05, 2011 | Texas Instruments TI-30XA Calculator

1 Answer

Find length of right triangle given one angle an one length


Formulas relating to right angled triangles are:
Sine = perpendicular divided by hypotenuse
Cosine = base divided by hypotenuse
Tangent = perpendicular divided by base
Sine Tangent and Cosine functions are all available in Excel

Aug 08, 2010 | Microsoft Excel for PC

2 Answers

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

Jul 16, 2010 | Super Tutor Trigonometry (ESDTRIG) for PC

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