Question

write the coordinates of midpoint of the segment joining (4,5) and (12,15)​

Answer 1

Answer:

Mid-Point is (8,10) Ans

Answer 2

The coordinates of midpoint of the segment joining (4,5) and (12,15) is (8,10)

Given :

The points (4,5) and (12,15)

To find :

The coordinates of midpoint of the segment joining (4,5) and (12,15)

Concept :

For the given two points ( x₁ , y₁) & (x₂ , y₂)

The midpoint of the line AB is

$\displaystyle \sf{ \bigg( \frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2} \bigg)}$

Solution :

Solution :Step 1 of 2 :

Write down the given points

The given points are (4,5) and (12,15)

Step 2 of 2 :

Find coordinates of midpoint of the segment joining (4,5) and (12,15)

The required coordinates of midpoint of the segment joining (4,5) and (12,15)

$\displaystyle \sf{ = \bigg( \frac{4 + 12}{2} , \frac{5 + 15}{2} \bigg)}$

$\displaystyle \sf{ = \bigg( \frac{16}{2} , \frac{20}{2} \bigg)}$

$\displaystyle \sf{ = ( 8 , 10 )}$