Question

Please see attached q 1 of 10. Determine side AB.

Answer 1

We are given a right triangle and we are asked to determine the length of the hypotenuse AB. To do that we will use the Pythagorean theorem:

$AB^2=AC^2+BC^2$

Now, we plug in the known values:

$AB^2=(8cm)^2+(15cm)^2$

Now, we solve the squares:

$AB^2=64cm^2+225cm^2$

Now, we add the values:

$AB^2=289cm^2$

Now, we take the square root to both sides:

$AB=\sqrt{289cm^2}$

Solving the operations:

$AB=17cm$

Therefore, the length of AB is 17 cm.