Question

What is the le tenth)? B 15 cm A- 20 cm

Answer 1

13.2 cm

Step-by-step explanation

as the tangent line is perpendicular to the radius, we have a rigth triangle, so we can unse Pythagorean Theorem

it says: for a rigth triangle

`\text{side}1^2+side2^2=hypotenuse^2`

then

Let

side1=15

side2= unknown

hypotenuse=20

now, replace,

`\begin{gathered} \text{side}1^2+side2^2=hypotenuse^2 \\ 15^2+side2^2=20^2 \\ 225+side2^2=400 \\ \text{subtract 225 in both sides} \\ 225+side2^2-225=400-225 \\ side2^2=175 \\ \text{side}2=\sqrt[]{175} \\ \text{side}2=13.228 \\ \text{rounded } \\ \text{side}2=13.2 \end{gathered}`

so, the answer is 13.2 cm.

i hope this helps you