___________
Maths
Geometrical properties: similarity and Pythagoras' theorem

Starter quiz

  • In this diagram, <Math>a</Math> cm² = 140 cm² and <Math>b</Math> cm² = 185 cm². The area <Math>c</Math> cm² is <span class="blank">______</span> cm².
    In this diagram, a cm² = 140 cm² and b cm² = 185 cm². The area c cm² is ______ cm².
    • '325' ✓
  • In this diagram, <Math>b</Math> cm² = 77 cm² and <Math>c</Math> cm² = 107 cm². Find the area <Math>a</Math> cm².
    In this diagram, b cm² = 77 cm² and c cm² = 107 cm². Find the area a cm².
    • 5.48 cm²
    • 13.56 cm²
    • 30 cm²  ✓
    • 184 cm²
    • 4119.5 cm²
  • In the diagram, <Math>a</Math> = 1504 and <Math>b</Math> = 1200. Find the length of the hypotenuse of the triangle.
    In the diagram, a = 1504 and b = 1200. Find the length of the hypotenuse of the triangle.
    • 17.44 cm
    • 52 cm  ✓
    • 304 cm
    • 1924.06 cm
    • 2704 cm
  • In this diagram, <Math>a</Math> = 49, <Math>b</Math> = 576, and <Math>c</Math> = 625. The perimeter of the triangle is <span class="blank">______</span> cm.
    In this diagram, a = 49, b = 576, and c = 625. The perimeter of the triangle is ______ cm.
    • '56' ✓
  • In a right-angled triangle, one of its acute interior angles is 33°. What is the size of its other acute interior angle?
    • 33°
    • 57°  ✓
    • 90°
    • 147°
    • impossible to tell
  • The size of an acute angle in a right-angled isosceles triangle is ______°.
    • '45' ✓
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