I need to find the length of the missing side of a triange that has a side of 24 and another 10. (hint is to use a(squared) + b(squared) = c(squared)
would it be 56?
it is easy to check that 56 squared is not equal to 24 squared plus 10 squared, however,
26 works.
Your triangle is a similar figure to the common 5,12 13 right-angled triangle by a factor of 2
You can only use that formula if it is right angle triangle. If it is, you also have to know if the side with length 24 is the hypotenuse or not. It could be one of the right-angle sides. You need to provide more information.
The answer cannot be 56 in either case. If it is a right triangle, the answer would be sqrt (10^2 + 24^2) = 26, or sqrt (24^2 - 10^2) = 21.8
To find the length of the missing side of a triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, we have a triangle with sides of 24 and 10. Let's assign these values to a and b, respectively:
a = 24
b = 10
We can use the formula a^2 + b^2 = c^2, where c is the missing side.
Plugging in the values, we have:
24^2 + 10^2 = c^2
Simplifying:
576 + 100 = c^2
676 = c^2
To find the value of c, we take the square root of both sides:
c = √676
Evaluating the square root:
c ≈ 26.0
Therefore, the length of the missing side is approximately 26 units, not 56.
To find the length of the missing side of a triangle, you can use the Pythagorean theorem, which states that for a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side (hypotenuse).
In this case, you have a triangle with two sides of lengths 24 and 10. Let's denote the unknown side as 'x'. According to the Pythagorean theorem, we have:
(a^2) + (b^2) = (c^2)
Substituting the given values, we get:
(24^2) + (10^2) = (c^2)
Simplifying this equation:
576 + 100 = (c^2)
676 = (c^2)
To find the length of 'c', we need to take the square root of both sides:
√676 = c
Therefore, the missing side of the triangle has a length of 26 (since the square root of 676 is 26), not 56.