Answer:
[tex]\text{Area of triangle}=\frac{1}{2}\text{Area of rectangle}[/tex]
Step-by-step explanation:
In triangle TRI
Height of triangle = n
Base of triangle = m
Formula of area of triangle = [tex]\frac{1}{2} \times Base \times Height[/tex]
Area of ΔTRI = [tex]\frac{1}{2} \times m \times n[/tex]
In rectangle RECT
Length = n
Width = m
Formula of area of rectangle = [tex]Length \times Width[/tex]
Area of rectangle RECT= [tex]m\times n[/tex]
On comparing Area of triangle and rectangle.
We can conclude that area of triangle is half of the area of rectangle .
[tex]\text{Area of triangle}=\frac{1}{2}\text{Area of rectangle}[/tex]
The surface of the rectangle is 2 times the area of the triangle.
Given
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.
The area of the triangle is determined by the following formula;
[tex]\rm Area \ of \ triangle = \dfrac{1}{2} \times base \times height[/tex]
The area of the rectangle is determined by the following formula;
[tex]\rm Area \ of \ rectangle =Length \times Width[/tex]
Triangle TRI has a base of m centimeters and a height of n centimeters.
Then,
The area of the triangle is;
[tex]\rm Area \ of \ triangle = \dfrac{1}{2} \times base \times height\\\\\rm Area \ of \ triangle = \dfrac{1}{2} \times m\times n\\\\\rm Area \ of \ triangle = \dfrac{mn}{2}[/tex]
Rectangle RECT has a length of n centimeters and a width of m centimeters.
Then,
The area of the rectangle is;
[tex]\rm Area \ of \ rectangle =Length \times Width\\\\\rm Area \ of \ rectangle =n \times m\\\\\rm Area \ of \ rectangle =nm[/tex]
Hence, the surface of the rectangle is 2 times the area of the triangle.
To know more about the Area of the Triangle click the link given below.
https://brainly.com/question/2362570
