Can someone help me with this..it would be amazing if you could!!!?

Question

The lengths of the legs in a right triangle are 2 and 3. Find the length of the hypotenuse to the nearest hundredth

If you can do it..It would be a big help if you explained so I can learn. Thanks mucho!!!

Answer 1

a^2+b^2=c^2
2^2+3^2=c^2
4+9=c^2
13=c^2
square root of 13=3.61

Answer 2

This a basic application of the pythagorean theorem. In right triangles, the squares of the two legs added together = the square of the hypotenuse: a^2 + b^2 = c^2, where a and b are the legs and c the hypotenuse.

Your legs are 2 and 3, so the math would go like this:

2^2 + 3^2 = c^2
4 + 9 = c^2
13 = c^2
c = sqrt(13) = 3.60555;
rounded off to the hundredth, 3.61.

Hope that helps.

Answer 3

Square the lengths of the legs and add them together. The sum of their squares is equal to the square of the hypotenuse of the triangle.

2² + 3² = 4 + 9 = 13 = h²

The length of the hypotenuse, h, is equal to the square root of h². So the hypotenuse is √13 ≈ 3.605551275 ≈ 3.61 to the nearest hundredth.

≈ means approximately equal to

Answer 4

for this equation, *2 means squared. In a right triangle the other two lengths (call them A & B) squared and added togeather equal the length of the hypotenuse (call that C) squared.

a*2 + b*2 = c*2

4 + 9 = c*2

13 = c*2

c (your hypotenuse) = 3.6055 rounded to 3.61 for your answer.

Answer 5

Using a squared plus b squared equals c squared:

2^2 + 3^2 = c^2
4 + 9 = c^2
13 = c^2
square root of 13 = c = hypotenuse
Use your calculator for the square root of 13.

Answer 6

The pythagorian theorem is c^2=a^2+b^2, where c is the hypotenuse and a and b are the legs.

c^2=4+9=13
c=3.61 or 3.60. (Some rounding rules say that if you are rounding a number that is followed by 5, you round up if it is odd and round down if it is even).

If you want to know how to take the square root of 13 without a calculator, I can't help you.

Answer 7

Not telling you the answer but the equation is c(squared)= a(squared) + b(squared). A and B are the lengths of the "legs" you quoted and C is the length of the hypotenuse.

Answer 8

For right triangles,

(length of leg 1)^2
+ (length of leg 2)^2
________________
(length of hypoteneuse, which is the longest side)^2

So, 2^2 + 3^2 = 4 + 9 = 13 = (length of hypoteneuse)^2

What's the square root of 13?

Answer 9

its a right triangle right? use the pathagorian thereom
A^2 + b^2 = c^2 in other words...

2^2 + 3^2 = C^2
4+9 = C^2
13= C^2
C=3.605

there ya go

Answer 10

IN A RIGHT TRIANGLE A62 +B^2 = C^2
WHERE C IS THE LENGTH OF THE HYPOTENUSE.
SO
2^2 + 3^2 = C^2
13 = C^2
SO C = SQRT OF 13 = 3.61