Question

solve 14.question......
plzzzz
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Answer 1

Answer:

the following user camera IP address wan&7268

Answer 2

Answer:

Step-by-step explanation:

concept :- any triangle will be isosceles

right angle triangle when two sides of triangle are equal ,and one angle is right angle . it means all three sides follow Pythagoras theorem .

solution :-

given ,

A(-5, 4) , B(-1 , -2) and C(5 , 2)

using distance formula for finding distance between two points .

AB = √{(-5+1)² + (4+2)²} = √(4²+6²) = 2√13

BC =√{(-1-5)²+(-2-2)²} =√(6²+4²) =2√13

CA =√{5+5)²+(2-4)²} =√(10²+2²) =2√26

now,

here we see that,

AB = BC

it means triangle is an isosceles triangle .

again,

we see that

CA² = 104

AB² + BC² = 104

e.g AB² + BC² = CA²

follow Pythagoras theorem ,

so, triangle is also right angle triangle

hence, ABC is an isosceles right angle ∆.

ABCD is square then,

AB = BC = CD =DA

and also co-ordinate of midpoint of diagonal always concide.

here, AC and BD are diagonals of square

so, midpoint of AC = midpoint of BD

use section formula,

Let D = (x , y)

{(-5 + 5)/2 , (4+2)/2 } = {(x -1)/2 , (y-2)/2}

0 =( x - 1)/2

x = 1

and (y -2)/2 = (4+2)/2 = 6/2

y = 8

hence , D=( 1 ,8)