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Find length of right triangle given one angle an one length

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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

Posted on Aug 11, 2010

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Posted on Jan 02, 2017

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1 Answer

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

1 Answer

The triangle has 3 congruent angles. does not have a ruler to measure the lengths of the sides. How can she show that the triangle has three congruent sides?


Three congruent angles means it is an equilateral triangle, so by definition it has 3 congruent sides. Or, by the Sine Rule of triangles

a/sinA = b/sinB = c/sinC

and since A = B = C (given) then a = b = c.
.

Apr 08, 2016 | Computers & Internet

1 Answer

Finding area of a Triangle in the Coordinate Plane


The area of a triangle is 1/2 times base times height. A sketch of the triangle in the coordinate plane will determine how easy or hard this will be to be. From the sketch, you will see that this is a right-angled triangle with B being the right-angle. This makes it easier because we can easily determine the base and the height to use in the formula.

We can chose AB or BC to be the base, while the other will be the height. If we choose the base of AB, its length is 4, the 6 - 2. The height is 9-(-4) or 13.

We can now put the length and height into the formula to calculate the area of the triangle.

Good luck.

Paul

Mar 19, 2015 | Office Equipment & Supplies

1 Answer

Right Triangle ABC has vertices A (-4 2)B(-4 6) C (9 6)


The area of a triangle is 1/2 times base times height. A sketch of the triangle in the coordinate plane will determine how easy or hard this will be to be. From the sketch, you will see that this is a right-angled triangle with B being the right-angle. This makes it easier because we can easily determine the base and the height to use in the formula.

We can chose AB or BC to be the base, while the other will be the height. If we choose the base of AB, its length is 4, the 6 - 2. The height is 9-(-4) or 13.

We can now put the length and height into the formula to calculate the area of the triangle.

Good luck.

Paul

Mar 19, 2015 | Office Equipment & Supplies

1 Answer

A right angle triangle with length of AB 10cm and AC 20cm, how do I find the angle of BC


Assuming that the angle at A is the right angle, Pythagoras' theorem says that the length of the hypotenuse (the side opposite the right angle) is the square root of the sum of the squares of the other two sides. In your case, AB and AC are 'the other two sides' and BC is the hypotenuse, so:

/ 2 2 /
length BC = V 10 + 20 = V 100 + 400


= V 500 = 22.36 cm

(To find the angle at C, you need trigonometry and is arc-tan(10/20)

and the angle at B is arc-tan(20/10) - 26.5 deg and 63.5 deg)

Oct 17, 2014 | Computers & Internet

1 Answer

How to find the length of a right angled triangle given the two sides remaining one


O^2 + A^2 = H^2 where

Opposite side
Adjacent side
Hypoteneuse

Oct 17, 2014 | Computers & Internet

1 Answer

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

Why is tan90 not defined?


The tangent of an angle (in a right triangle) is defined to be the length of the side opposite the angle, divided by the length of the side adjacent to the angle (that is not the hypoteneuse). As the angle approaches 90 degrees, the length of the opposite side gets very large and the length of the adjacent side nears 0. At 90 degrees, the length of the adjacent side is 0, and division by 0 is not defined, so the tangent of 90 degrees is not defined.

Nov 26, 2010 | Texas Instruments World of Mathematics...

1 Answer

1. calculation for excel spreadsheet macro for calculating the a right angle triangles hypotinuse and opposite side, angle given


Hello this is Baris,
First off all when you say hypotinuse I think it is a 90 Degree triangle. Total of the angles off a triangle is 180 degree. So it is a simple algebra question.

Hypotinuse is 90
Right angle is R
Left angle is L
Total is 180

Equation is 90+ R +L = 180

We are looking for R, so lets arrange our equation.

R= 180 - 90 - L
R= 90 - L

This is our formula for excel

Lets put it in the excel
Type in A1 "hypotinuse "
Type in A2 "Left Angle"
Type in A3 "Right Angle"

Type in B1 90
Type in B2 "whatever the value given for the left angle"
Type in B3 =90-B2

As soon as you change the value in the cell B2, B3 will change by itself. Hope this helps :)


Sep 27, 2009 | Microsoft Excel for PC

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