This math could be easy .... but ...?

Question

Help ! I need to express my radical in simplified radical form

There is a picture of a triangle with 3 sides.

One side is 10

The other side is 8

and the last side is (x)

How do I do this problem ?

Answer 1

use the pythagorean theorum which is a^2 + b^2 = c^2

8^2+3^2=c^2
64+9=c^2
73=C^2
find the squar root of 73 and that is your answer..... It should be 36.5

Answer 2

you need more info...however, I am guessing it is a right triangle (that is, there is a 90 deg angle inthe triangle). If so, you use a^2 + b^2 = c^2 to figure it out, pythagorean theorem. If I am right about the picture and the long side is 10, the the answer is 6 since 6 squared = 36, 8 squared = 64, and 36+64 = 100, which is 10 squared. If the long side is not 10, then the answer is the square root of 164 which is 2*sqrt(41) in simplified form (assuming there is a right angle - if there is no right angle, you do not have enough info to solve)

Answer 3

If its a right triangle and the longest side is 10, then x=6. This is a 3,4,5 triangle. 10=5x2, 8=4x2, 6=3x2, so x would equal 6. If this is not a right triangle, without the values of the angles, 18>x>2
Because one side of a triangle is always at least greater than the difference of the other two, and less than the sum

Answer 4

if the triangle is a right triangle and side x is the hypotonuse (side opposite of right angle), then x = 82. a-squared(8*8=64) + b-squared(10*10=100) = c-squared(100 + 64 = 164. 164/2 = 82.

Answer 5

if it is a right triangle, then you can do the pythagorean thereom.

10^2=8^2+x^2

or you can do similar triangles. It appears to be a 3,4,5 triangle.

Answer 6

you need to know what side is the hypotenuse (the side opposite the right angle) then use the pythagoream theorem..... a^2+b^2=c^2

Answer 7

10^2+8^2=x^2
100+64=x^2
x^2=164
sqrt of164 is your answer!