the area of a triangle is 48 cm square. The height of the triangle is

1.	the area of a triangle is 48 cm square. The height of the triangle is 6cm. Calculate the length of the base
Answer» ong>Answer :- The length of the base = 16 cm. Given :- The area of a TRIANGLE is 48 cm². The height of the triangle is 6 cm. To find :- The base of the triangle. Step-by-step EXPLANATION :- We know that :- $\underline{ \boxed{ \sf Area \: of \: a \: triangle = \dfrac{1}{<klux>2</klux>} \times Base \times Height}}$ Here, Area = 48 cm². Height = 6 cm. Let the base be b. --------------------- ${\underline {\underline{ \mathfrak{Substituting \: these \: values \: in \: the \: formula,}}}}$ $\boxed{\tt48 = \frac{1}{2} \times b \times 6}$ Multiplying b by 6, $\boxed{ \tt48 = \dfrac{1}{2} \times 6b}$ Multiplying 1/2 by 6b, $\boxed{ \tt48 = \dfrac{6b}{2} }$ Transposing 2 from RHS to LHS, changing it's sign, $\boxed{\tt48 \times 2 = 6b}$ Multiplying 48 by 2, $\boxed{ \tt96 = 6b}$ Transposing 6 from RHS to LHS, changing it's sign, $\boxed{\tt \dfrac{96}{6} = b}$ Dividing 96 by 6, $\overline{ \boxed{ \tt16 = b.}}$ --------------------- Hence, the base = 16 cm.