Question

please answer this question ​

Answer 1

☯ Question (1),

• What is the distance between point A and point B.

A(8,9) & B(14,17)

Applying distance formula,

d = √(x2 - x1)² + (y2 - y1)²

⇒ AB = √(14 - 8)² + (17 - 9)²

⇒ AB = √(6)² + (8)²

⇒ AB = √36 + 64

⇒ AB = √100

⇒ AB = 10 units (Option ii)

☯ Question 2,

• Point C is midpoint of arm AB, what are the coordinates of point C.

Applying midpoint formula,

(x, y) = (x1 + x2/2 , y1 + y2/2)

⇒ C(x , y) = (x1 + x2/2 , y1 + y2/2)

⇒ C(x , y) = (8 + 14/2 , 9 + 17/2)

⇒ C(x , y) = (22/2 , 26/2)

⇒ C(x , y) = (11 , 13) (Option i)

☯ Question 3,

• What is the distance between point A and point E.

A(8,9) & E(2, 1)

Applying distance formula,

d = √(x2 - x1)² + (y2 - y1)²

⇒ AE = √(2 - 8)² + (1 - 9)²

⇒ AE = √(-6)² + (-8)²

⇒ AE = √36 + 64

⇒ AE = √100

⇒ AE = 10 units (Option iii)

☯ Question 4,

• Point D is midpoint of arm AE, what are the coordinates of point D.

Applying midpoint formula,

(x, y) = (x1 + x2/2 , y1 + y2/2)

⇒ D(x , y) = (x1 + x2/2 , y1 + y2/2)

⇒ D(x , y) = (8 + 2/2 , 9 + 1/2)

⇒ D(x , y) = (10/2 , 10/2)

⇒ D(x , y) = (5 , 5) (Option i)

☯ Question 5,

• Which type of triangle is ABE.

⇒ Isosceles triangle (Option iii)

Answer 2

$\huge\mathcal\colorbox{black}{{\color{white}{★ANSWER★}}}$

⠀

$\huge\color{red}{\textbf{\textsf{QUESTION 1 :-}}}$

⠀

What is the distance between the point A & point B ?

⠀

$\huge\color{red}{\textbf{\textsf{ANSWER :-}}}$

⠀

Option ii) 10 unit

⠀

$\huge\color{red}{\textbf{\textsf{SOLUTION :-}}}$

⠀

Applying Distance Formula,

⠀

d = √(x2 - x1)² + (y2 - y1)

→ AB = √(14 - 8)² + (17 - 9)²

→ AB = √(6)² + (8)²

→ AB = √36 + 64

→ AB = √100

→ AB = 10 unit

⠀

⠀

$\huge\color{blue}{\textbf{\textsf{QUESTION 2 :-}}}$

⠀

Point C is midpoint of arm AB, what are the coordinates of point C ?

⠀

$\huge\color{blue}{\textbf{\textsf{ANSWER :-}}}$

⠀

Option i) (11, 13)

⠀

$\huge\color{blue}{\textbf{\textsf{SOLUTION :-}}}$

⠀

Applying Midpoint Formula,

⠀

(x, y) = (x1 + x2/2, y1 + y2/2)

→ C(x, y) = (x1 + x2/2, y1 + y2/2)

→ C(x, y) = (8 + 14/2, 9 + 17/2)

→ C(x, y) = (22/2, 26/2)

→ C(x, y) = (11, 13)

⠀

⠀

$\huge\color{pink}{\textbf{\textsf{QUESTION 3 :-}}}$

⠀

What is the distance between point A & point E ?

⠀

$\huge\color{pink}{\textbf{\textsf{ANSWER :-}}}$

⠀

Option iii) 10 unit

⠀

$\huge\color{pink}{\textbf{\textsf{SOLUTION :-}}}$

⠀

Applying Distance Formula,

⠀

d = √(x2 - x1)² + (y2 - y1)²

→ AE = √(2 - 8)² + (1 - 9)²

→ AE = √(-6)² + (-8)²

→ AE = √36 + 64

→ AE = √100

→ AE = 10 unit

⠀

⠀

$\huge\color{lightgreen}{\textbf{\textsf{QUESTION 4 :-}}}$

⠀

Point D is midpoint of arm AE, what are the coordinates of point D ?

⠀

$\huge\color{lightgreen}{\textbf{\textsf{ANSWER :-}}}$

⠀

Option i) (5, 5)

⠀

$\huge\color{lightgreen}{\textbf{\textsf{SOLUTION :-}}}$

⠀

Applying Midpoint Formula,

⠀

(x, y) = (x1 + x2/2, y1 + y2/2)

→ D(x, y) = (x1 + x2/2, y1 + y2/2)

→ D(x, y) = (8 + 2/2, 9 + 1/2)

→ D(x, y) = (10/2, 10/2)

→ D(x, y) = (5, 5)

⠀

⠀

$\huge\color{yellow}{\textbf{\textsf{QUESTION 5 :-}}}$

⠀

Which type of triangle is ABE ?

⠀

$\huge\color{yellow}{\textbf{\textsf{ANSWER :-}}}$

⠀

Option iii) Isosceles

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Hope it Helps Buddy ♥️