Area of triangle - Wiki

  • #areaoftriangle
    • In the figure below, XYZ is a right-angled triangle. Find the shaded area. Ans: _BLANK_ cm`^2`
      • #areaoftriangle

        The shade area is `1/3` of Triangle XTZ as the XZ is made up of 3 equipment sides.

        Area of triangle XYZ

        `1/2`  `xx` 12 `xx` 16 = 96 cm2   

         Area of shaded area

        96 `-:` 3 = 32 cm3 

         

    • The figure below, not drawn to scale, shows 3 triangles X, Y and Z overlapping one another. The area of triangle X is `1/3` the area of triangle Y and the area of triangle Y is `2/3` the area of triangle Z. Express the unshaded area of triangle Y as a fraction of the unshaded area of triangle Z.
      • #areaoftriangle

        X : Y

        1 : 3

        `->` 2 : 6

        Y : Z

        2 : 3

        `->` 6 : 9

        Difference between Y and X (unshaded part of Y)

        6u - 2u = 4u

        Difference between Z and Y (unshaded part of Z)

        9u - 2u = 7u

        Fraction of the unshaded area of triangle Z

        `4/7`