Question

Help Please!?

The polygons are similar, but not necessarily drawn to scale. Find the value of x.
Find the value of each variable. If your answer is not an integer, express it in its simplest radical form.

Answer 1

You can use sin cos or tan to solve this

Answer 2

Answer: The value of x = 7 and the value of y = 7√2.

Explanation:

Since we have given that

Let ABC is a right angled triangle , right angle at B.

AB = 7

BC = x

AC = y

∠ACB = 45°

We need to find the value of x and y:

As we know the "Trigonometric ratio":

`\tan 45^\circ=(AB)/(BC)=(7)/(x)\\\\1=(7)/(x)\\\\x=7`

Similarly,

`\sin 45^\circ=(AB)/(AC)=(7)/(y)\\\\(1)/(√(2))=(7)/(y)\\\\y=7√(2)`

Hence, the value of x = 7 and the value of y = 7√2.