Question

i answered number 4 which is part 1, part 2 is question 5. if the missing length of the triangle is 14m (pythagorean theorem) then what's number 5?

Answer 1

We first determine the length of the side of the triangle on the left, that is:

$s=\sqrt[]{20^2-12^2}\Rightarrow s=16$

Now, we can see that 24 = s + a, where s is the side we just determined and a is the side of the smaller triangle in the right, now we replace and solve for a:

$16+a=24\Rightarrow a=8$

Now, we determine the missing side of the whole triangle:

$s_1=\sqrt[]{12^2+8^2}\Rightarrow s_1=4\sqrt[]{13}$