Given: △abc, m∠b=90° ab=12, bc=16, bk ⊥ ac . find: ac and bk.

Since m∠B = 90°, then ΔABC is a right triangle, so Pythagorean Theorem can be used to solve for AC.

AB² + BC² = AC²

12² + 16² = AC²

144 + 256 = AC²

400 = AC²

20 = AC

The placement of point K is not given.  Is it on AC, inside the triangle, or outside the triangle?  In order to find the length, you need to know where it is placed.

AC = 20, BK = 35/3 ≈ 11.67

exa:

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3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.