Question

find the coordinates of the midpoint of the segment joining the point (22,20) and (0,16)​

Answer 1

Answer:

(11,18)

Step-by-step explanation:

(x,y)=x1+x2,y1+y2

2 2

= 22+0,20+16

2 2

=22,36

2 2

=11,18

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Answer 2

$\huge\fbox\red{❥Answer}$

Using Midpoint Formula :-

$\huge \: x \: = \: \frac{x¹ \: + \: x²}{2}$

ㅤ

$\huge \: Y \: = \: \frac{Y¹ \: + \: Y²}{2}$

Answer :-

• $22 \: \: is \: \: x¹$

• $20 \: \: is \: \: y¹$

• $0 \: \: is \: \: x²$

• $16 \: \: is \: \: y²$

________________________

Now :-

ㅤ

$\: \: \huge\sf\bold{\blue{ \frac{22 + 0}{2} }}$

ㅤ

$\: \: \huge\sf\bold{\blue{ \frac{22}{2} }}$

ㅤ

$\: \: \huge\sf\bold{\blue{ x \: = \: 11 }}$

Now , Finding value of y :-

ㅤ

$\: \: \huge\sf\bold{\purple{ \frac{20 + 16}{2} }}$

ㅤ

$\: \: \huge\sf\bold{\purple{ \frac{36}{2} }}$

ㅤ

$\: \: \huge\sf\bold{\purple{ y \: = \: 18}}$

Therefore :-

$\huge\boxed x = 11$

ㅤ

$\huge\boxed y = 18$