Question

NEED HELP WITH A MATH QUESTION TO FIND THE VALUE OF X

Answer 1

x=6.5 cm

Explanation:

The tangent meets the circle at right angles.

Therefore the triangle formed is a right triangle.

From the Pythagorean Theorem;

`x^(2) +20.2^2=(x+14.7)^2`

We expand to obtain:

`x^(2) +408.4=x^2+29.4x+216.04`

We group like terms to get:

`x^(2) -x^2+408.4-216.04=29.4x`

We simplify now to get:

`192.36=29.4x`

We divide both sides by 29.4 to get:

x=6.5 to the nearest tenth.