triangle-find the length of the missing side? a= 16, b = 63 please walk me through this.
It must be more than 63 - 16 = 47
It must be less than 63 + 16 = 79
Other than that I do not know without knowing the angle between sides.
If it is a right triangle, is 63 the hypotenuse?
yes it is a right triangle -b is the side length and a is the base
Pythagorean theorem.
a^2 + b^2 = h^2
16^2 + 63^2 = h^2
Solve for h.
To find the length of the missing side in a triangle, we can use the Pythagorean theorem if it's a right triangle, or the Law of Cosines if it's not a right triangle.
In this case, it seems that we are dealing with a right triangle, as you have given the lengths of two sides, a and b.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
To find the missing side, let's label it as c. So, in this case, we have two sides: a = 16 and b = 63, and we want to find the length of side c.
Using the Pythagorean theorem, we have:
c^2 = a^2 + b^2
Replacing the values, we get:
c^2 = 16^2 + 63^2
Simplifying further:
c^2 = 256 + 3969
c^2 = 4225
To find the length of side c, we need to take the square root of both sides:
c = √4225
c = 65
So, the missing side, labeled as c, has a length of 65.
Therefore, the length of the missing side in this triangle is 65.