Question

find the equation of the plane passing through (0,0,-4) and perpendicular to the line joining the points (1,-2,2) and (-3,1,-2)​

Answer 1

Answer:

a right angle triangle,

Length of one side is 15 cm.

Length of other side is 20 cm.

Lᴇᴛ,

➣ Height (h) of the right angle triangle is 15 cm.

➣ Base (b) of the right angle triangle is 20 cm.

Tᴏ Fɪɴᴅ :

Length of the hypotenuse.

Perimeter.

Cᴀʟᴄᴜʟᴀᴛɪᴏɴ :

↝ Using Pythagoras theorem,

Wᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ,

\begin{gathered}\red\bigstar\:\:{\underline{\orange{\boxed{\bf{\green{(Hypotenuse)^2\:=\:(Height)^2\:+\:(Base)^2\:}}}}}} \\ \end{gathered}

★

(Hypotenuse)

2

=(Height)

2

+(Base)

2

➛ \begin{gathered}\sf{(Hypotenuse)^2\:=\:(15)^2\:+\:(20)^2\:} \\ \end{gathered}

(Hypotenuse)

2

=(15)

2

+(20)

2

➛ \begin{gathered}\sf{(Hypotenuse)^2\:=\:225\:+\:400\:} \\ \end{gathered}

(Hypotenuse)

2

=225+400

➛ \begin{gathered}\sf{(Hypotenuse)^2\:=\:625\:} \\ \end{gathered}

(Hypotenuse)

2

=625