The triangle is called ABC. Angle B has an angle of 90 degrees. The length of AB is 15mm and the length of BC is 16mm. Find the length of AC
AC^2 = AB^2 + BC^2
now just plug in your values.
To find the length of AC, we can use the Pythagorean theorem. The Pythagorean theorem 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 lengths of the other two sides.
In this case, AB and BC are the two sides of the right triangle, with BC being the hypotenuse.
Let's calculate the length of AC using the Pythagorean theorem:
1. Identify the sides of the right triangle:
- AB: 15 mm
- BC: 16 mm
2. Apply the Pythagorean theorem:
AC^2 = AB^2 + BC^2
Plugging in the values,
AC^2 = 15^2 + 16^2
AC^2 = 225 + 256
AC^2 = 481
3. Find the square root of both sides to solve for AC:
AC = √481
Now, let's calculate the length of AC using a calculator or approximation:
AC ≈ 21.93 mm
Therefore, the length of AC is approximately 21.93 mm.