Question

1. Determine the variables in the figure below.
20
50

Answer 1

Answer:

r=8

t=4√29

Step-by-step explanation:

By the altitude leg theorem:

${20}^{2} = 50r$

This implies that:

$r = \frac{20 \times 20}{50}$

We simplify to obtain:

$r = 4 \times 2 = 8$

By the Pythagoras theorem:

${t}^{2} = {20}^{2} + {8}^{2}$

${t}^{2} = 400 + 64$

${t}^{2} = 464$

$t = \sqrt{464}$

$t = 4 \sqrt{29}$