Question about Measuring Tools & Sensors

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In building terms there is the 3, 4, 5 rule, which allows you to determine a perfect right angle. This is from the Pythagoras theorem which says - the square on the hypotenuse equals the sum of the squares on the other two sides.... so to calculate the hypotenuse we square 3 and 4 to get 9 and 16 respectively. Adding these give 25. Getting the square root of 25 gives 5 which is the dimension of the hypotenuse...

Any combination of 3/4/5 works - so 6/8/10 is also valid.

Hope this helps.

Posted on Oct 22, 2013

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Posted on Jan 02, 2017

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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

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

a2 + b2 + c2 = 200

a2 + b2 = c2 c being hypotenuse

sub c2 for a2 +b2

you get

c2 + c2 = 200

2 c2 = 200

divide by 2

c2 = 100

c = 10

a2 + b2 = c2 c being hypotenuse

sub c2 for a2 +b2

you get

c2 + c2 = 200

2 c2 = 200

divide by 2

c2 = 100

c = 10

Aug 26, 2015 | Office Equipment & Supplies

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

Pythagorean theorem water demo

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

Pythagorean theorem water demo

Mar 29, 2015 | Office Equipment & Supplies

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.

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

"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

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

I think you're asking about a "hypotenuse", not a "hypotamum". The hypotenuse of a right triangle with those dimensions would be 180 x the square root of 2, or approximately 254.52cm.

Jul 13, 2014 | Nikon Nivo 3M 3" Reflectroless Total...

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

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

May 01, 2014 | Sharp el-531x scientific calculator

Yes, there is shortcut because this is right triangle, so you can use Pythagorean theorem (see picture).

If this was helpful please rate 4 thumbs :)

- 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.
- Sin(a)=longer cathetus/hypotenuse=0.949 so a=arcsin(0.949)=71.6 degrees
- Finally b=90-a=18.4 degrees.

If this was helpful please rate 4 thumbs :)

Sep 05, 2011 | Texas Instruments TI-30XA Calculator

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

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

15 squared + 15 squared = C Squared

225 + 225 = c squared

450 = c squared

the square root of 450 is 21.21320433

May 12, 2008 | Texas Instruments TI-83 Plus Calculator

Dec 10, 2017 | Measuring Tools & Sensors

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