The area of a triangle is equal to the area of a rectangle whose length and breadth are 20 cm and 15 cm respectively. Calculated t

The area of a triangle is equal to the area of a rectangle whose length and breadth are 20 cm and 15 cm respectively. Calculated the altitude of the triangle if its base measures 30 cm.​

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  1. Answer:

    The height of the triangle is 20 cm.

    Step-by-step explanation:

    Length of rectangle = 20 cm

    Breadth of rectangle = 15 cm

    Area of rectangle = [tex]Length \times[/tex]

    [tex]= 20 \times 1520×15[/tex]

    [tex] = 300 cm^2300cm [/tex]

    Area of triangle = [tex]\frac{1}{2} \times Base \times Height[/tex]

    Since we are given that the base of the given triangle is 30 cm

    So, Area of triangle = [tex]\frac{1}{2} \times 30 \times [/tex]

    We are also given that The area of triangle is equal to the area of rectangle

    So, 300[tex]=\frac{1}{2} \times 30 \times [/tex]

    [tex]\frac{600}{30}= Height [/tex]

    Hence the height of the triangle is 20 cm.

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