What is the length of the missing side of the triangle? *
15 is on the top, and 9 is on the left, there is the bottom side missing. I would really appreciate some help.
choices
12
17.5
144
306
12
This theorem states that the sum of the lengths of any 2 sides of a triangle must be greater than the third side. This leads me to choose either 12 or 17.5. Any typos?
To find the length of the missing side of the triangle, we can use the Pythagorean theorem, which states that in a right-angled 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.
In this case, we have the top side with a length of 15 units, the left side with a length of 9 units, and the bottom side is missing. Since the top and left sides are the two legs of the triangle, we can use the Pythagorean theorem to find the missing side.
Let's call the missing side x. Applying the Pythagorean theorem, we have:
x^2 = 15^2 + 9^2
x^2 = 225 + 81
x^2 = 306
To find the value of x, we can take the square root of both sides:
x = √(306)
Using a calculator, we can find that √(306) is approximately equal to 17.5.
Therefore, the length of the missing side of the triangle is approximately 17.5 units.