Answer:
r=8
t=4√29
Step-by-step explanation:
By the altitude leg theorem:
[tex] {20}^{2} = 50r[/tex]
This implies that:
[tex]r = \frac{20 \times 20}{50} [/tex]
We simplify to obtain:
[tex]r = 4 \times 2 = 8[/tex]
By the Pythagoras theorem:
[tex] {t}^{2} = {20}^{2} + {8}^{2} [/tex]
[tex] {t}^{2} = 400 + 64[/tex]
[tex] {t}^{2} = 464[/tex]
[tex]t = \sqrt{464} [/tex]
[tex]t = 4 \sqrt{29} [/tex]
