SSC Sample Paper SSC CGL - Sample Paper-20

  • question_answer
    If the area of a triangle with base 12 cm is equal to the area of a square with side 12 cm. The altitude of the triangle will be

    A) 12 cm              

    B) 24 cm

    C) 18 cm              

    D) 36 cm

    Correct Answer: B

    Solution :

    Area of square \[={{(12)}^{2}}=144\,c{{m}^{2}}\] Area of triangle             \[\text{=}\frac{\text{1}}{\text{2}}\text{ }\!\!\times\!\!\text{ base }\!\!\times\!\!\text{ height}\]             \[\text{=}\frac{\text{1}}{\text{2}}\text{ }\!\!\times\!\!\text{ 12 }\!\!\times\!\!\text{ height}\]             \[\text{=}\frac{\text{1}}{\text{2}}\text{ }\!\!\times\!\!\text{ 12 }\!\!\times\!\!\text{ height=144}\] \[\Rightarrow \]   \[\text{height=}\frac{\text{144}\times \text{2}}{12}\] \[\Rightarrow \]   \[24\,cm\]


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