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Trying to find the hypotenuse of a trangle

I have both the height and the length of a triangle, the height equals 15 and the length equals 15 what will the hypotenuse equal and how do i type the equation in my calculator to find it out?

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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

Posted on Apr 30, 2009

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The type of triangle you described is a 45-45-90. to find the hypotenuse, simply multiply 15 by the square root of 2

Posted on May 07, 2009

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(A) squared plus (B) squared equals (C) squared

A=15
B=15

C=square root of 450= 21.213203

Posted on Aug 01, 2008

  • slshankle Aug 01, 2008

    assuming of course that it is a right triangle otherwise you have to know some angles also.

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1 Answer

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.
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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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The length hypotenuse of a Right triangle length 19cm height 9cm


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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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king_cole.jpg

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In a calculator, simply hit the desired function (sin, cos, or tan), then in parenthesis put the measure of the angle, and then use what you know about the triangle to find out the rest.

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I am not exactly sure what the 14.4 m distance represents: The horizontal part or the inclined one.

A. If the 14.4m is the length of the horizontal leg, then the height is given by tan(3 deg)=h/14.4m or h=14.4m*tan(3 deg) =0.75467 m.

B. However if 14.4 m is the length of the inclined part (the hypotenuse) of the triangle, then the height is given by
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I am no construction engineer, but it seems to me that a 3 deg pitch in not much of an inclination. Maybe you meant 30 degree pitch.

If that be the case, the calculations are performed the same way as above: Just substitute 30 deg for 3 deg.

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