Question

Work out the lengths of sides a and b.

Answer 1

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:

brainly.com/question/2217700

#SPJ1