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
⇛x = 17 cm
given that
x = 2y
⇛y = x/2
⇛y = 17/2
⇛y = 8.5 cm
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.
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