Question about Texas Instruments TI-83 Plus Calculator

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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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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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Using the Pythagoran Theorem , find the length of a leg of a right triangle if the other leg is 8 feet long and the hypotenuse is 10 feet long . Q


10 x 10 = 100
8 x 8 = 64
x = sqroot (100-64)
x = sqroot (36)
x = 6 feet
the square of the hypotenuse equals the square of the adjacent + Square of the opposite.

So H^2 = O^2 + A^2

the convention is C^2 = A ^2 + B^2
square root of any of the components gives the actual value
but the addition or subtraction has to be the square of the values
http://www.mathsisfun.com/pythagoras.html

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The sum of two square numbers is equal to a squar


3^2=9
4^2=16
9+16=25 =5^2
You can write 3^2+4^2=5^2
(3,4,5) form a Pythagorean triple.
If you construct a right triangle with legs =3 and 4, the hypotenuse will be 5, because in a right triangle the Pythagorean theorem holds true.
It says (leg_1)^2+l(leg_2)^2=(hypotenuse)^2
Other Pythagorean triples are (5,12,13), (9,40,41)
Here is a link to more info on Pythagorean triples

Pythagorean Triples Advanced

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1 Answer

How to determine the hypotenuse of a triangle measuring 5ft base and a 4 foot hieght?


Hypotenuse squared = base squared + height squared.

H^2 = 5^2 + 4^2
H^2 = 25 + 16
H^2 = 41
H = sqrt(41)

Hypotenuse = about 6.4 feet

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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).
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  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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If this was helpful please rate 4 thumbs :)

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king_cole.jpg

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