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Work out the lengths of sides a and b.
Give your answers to 1 decimal place.
triangle a is a right angled triangle with a height | of 8cm base of 5cm and missing hypotenuse
triangle b is a right angled triangle with a height | of 12cm and a hypotenuse of 17cm with a missing base

Sagot :

Adioabiolaidn

The length of the missing sides of triangles A and B are 9.43 cm and 12.04 cm respectively.

Pythagoras theorem

Triangle A:

  • Height = 8cm
  • Base = 5cm
  • Hypotenuse = x cm

Hypotenuse² = height ² + base²

x² = 8² + 5²

= 64 + 25

x² = 89

x = √89

x = 9.43 cm

Triangle B:

  • Height = 12cm
  • Base = x cm
  • Hypotenuse = 17 cm

Hypotenuse² = height ² + base²

17² = 12² + x²

17² - 12² = x²

289 - 144 = x²

145 = x²

x = √145

x = 12.04 cm

Learn more about right triangle:

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