Question

In a right triangle, the base is 3 units more than the height. If the area of the triangle is less than 20 square units, then the possible values of the base lies in which region?

Answer 1

Answer:

h∈(-8,5)

Step-by-step explanation:

⇒1/2 * base * height < 20

⇒base*height<40

⇒(h+3)(h)<40

⇒h²+3h-40<0

⇒h²+8h-5h-40<0

⇒h(h+8)-5(h+8)<0

⇒(h+8)(h-5)<0

⇒h-5 and h+8 have opposite signs. This is possible only when -8<h<5.

⇒h∈(-8,5)