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

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Hypotenuse squared = base squared + height squared.

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

Posted on May 07, 2014

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Posted on Jan 02, 2017

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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### 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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"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

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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.

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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...
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So, if the hyp is one and the base is one, the hyp is not actually a hyp, because it is not a right angle triangle.

What a strange question to ask on a PC forum!

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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

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