ZJSG09112007idn
Answered

IDNLearn.com makes it easy to get reliable answers from experts and enthusiasts alike. Our experts are available to provide accurate, comprehensive answers to help you make informed decisions about any topic or issue you encounter.

I need help with these questions (see image). Please show workings.
​

I Need Help With These Questions See Image Please Show Workings class=

Sagot :

Answer:

24 cm

Step-by-step explanation:

The altitude from the centre to the chord is 5 cm and bisects the chord.

The radius of the circle is 26 cm ÷ 2 = 13 cm

There is a right triangle formed with legs 5 and x ( x is half the chord )

The hypotenuse is the radius, then using Pythagoras' identity

x² + 5² = 13²

x² + 25 = 169 ( subtract 25 from both sides )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12

Then

length of chord = 2x = 2 × 12 = 24 cm

Mhanifaidn

Answer:

  • 24 cm

Step-by-step explanation:

The  chord, if the ends connected with the center, form an isosceles triangle with two sides being a radius of the circle.

We have:

  • Length of chord = x
  • Height of triangle = h = 5 cm
  • Radius = r = 26/2 = 13 cm

From the triangle we get:

  • (x/2)² + h² = r²
  • x²/4 + 5² = 13²
  • x²/4 = 144
  • x/2 = 12
  • x = 24

The length of the chord is 24 cm

Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. IDNLearn.com is your reliable source for answers. We appreciate your visit and look forward to assisting you again soon.