Question

base of a triangle is 2units more than its altitude and its area is 15 square unit , write in the form of quadratic equations ​

Answer 1

Given:-

• Base of a triangle is 2units more than its altitude and its area is 15 square unit.

To Do:-

• Form of quadratic equation on this situation.

Formula Used:-

• ${\boxed{\bf{Area\:of\: Triangle=\dfrac{1}{2}\times Base \times Height}}}$

Solution:-

Let the altitude of the triangle be x.

According to question,

• Base = 2 + x

Using Formula,

$\sf :\implies\:Area\:of\: Triangle=\dfrac{1}{2}\times Base \times Height$

$\sf :\implies\:15=\dfrac{1}{2}\times (2+x) \times x$

$\sf :\implies\:15\times2=x^2+2x$

$\sf :\implies\:x^2+2x-30=0$

Hence, The quadratic equation on this situation is x² + 2x - 30.

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