Triangle TRI has a base of m centimeters and a height of n centimeters. Rectangle RECT has a length of n centimeters and a width of m centimeters. Use complete sentences to compare the areas of triangle TRI and rectangle RECT.
Accepted Solution
A:
Answer:Area of a triangle = [tex]\frac{1}{2}[/tex] area of rectangleStep-by-step explanation:Given:Height of triangle = n cm, Base of triangle = m Length of rectangle = n cm, Width of rectangle = m cmArea of ΔTRI = [tex]\frac{1}{2}[/tex] base × height = [tex]\frac{1}{2}[/tex] ( m ) × (n) ⇒ [tex]\frac{1}{2}[/tex] mnArea of Rectangle RECT = Length × Width = m × n ⇒ = mnComparing Area of triangle and rectangle. [tex]\frac{1}{2}[/tex] mn = mnWe can conclude that area of triangle is half of the area of rectangle.