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Need help with finding the value of x

Need help with finding the value of x-example-1
User Dcmbrown
by
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2 Answers

4 votes
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
User BlueNC
by
4.7k points
2 votes

Answer:

The value of x = 4.1 cm

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

User Therightstuff
by
5.2k points