Question

Need help with finding the value of x

Answer 1

Answer:

The value of x = 4.1 cm

Step-by-step explanation:

From the figure we can see a circle, with chord 15.6 cm

A right angled triangle with hypotenuse 8.8 cm

To find the value of x

By using Pythagorean theorem,

Base² + Height² = Hypotenuse²

Here Base  = x, Height = 15.6/2 = 7.8 cm and Hypotenuse = 8.8 cm

x² + 7.8² = 8.8²

x² = 8.8² - 7.8²

 = 77.4 - 60.84

 = 16.56

x = √16.56 = 4.07 ≈ 4.1 cm

Therefore the value of x = 4.1 cm

Answer 2

15.6/2 = 7.8
a^2 + b^2 = c^2
7.8^2 + x^2 = 8.8^2
60.84 + x^2 = 77.44
x^2 = 16.6
x = 4.1cm