In the given figure, O is centre of the circle. Find the value of x and y?

EXPLANATION:

Given figure is a semi-circle.

We know that

The angle in a semi circle is 90°

So the triangle in the semi circle is a right angled triangle

By Pythagoras Theorem

Hypotenuse² = Side²+Side²

⇛x² = 15²+8²

⇛x² = 225+64

⇛x² = 289

⇛x² = 17²

given that

x = 2y

⇛y = x/2

⇛y = 17/2

Answer: Hence, the value of x = 17cm and y = 8.5cm.

also read similar questions: Points A, B and C lie on a circle, centre O. Angle AOC = 142°. Find the value of y.

what does muffins have to do with anything?

step-by-step explanation:

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.