Math, asked by farhaanshenmortal132, 4 months ago

Perpendicular drawn on a line segment at a given point on it. ( note- answer only if you no) pls answer this dont be spam or i will report you. plz help me

Answers

Answered by Anonymous
2

Answer:

Step-by-step explanation:

Construction Draw two intersecting lines passing through the point P and which is perpendicular to l

To prove Only one perpendicular line can be drawn through a given point i.e., to prove ∠P=0∘.

proof In ΔAPB, ∠A+∠P+∠B=180∘  [by angle sum property of a triangle is 180∘]

⇒ 90∘+∠+90∘=180∘

⇒ ∠P=180∘−180∘

∴ ∠P=0∘

So, lines m and m coincide.

Hence, only one perpendicular line can be drawn through a given point.

Answered by cuteangel0001
21

-Construction Draw two intersecting lines passing through the point P and which is perpendicular to I

To prove Only one perpendicular line can be drawn through a given point i.e., to prove ZP=0°.

proof In AAPB, ZA+ZP+ZB=180• [by angle sum property of a triangle is 1800]

» 900+Z+900=1800

→ ZP=1800-180•

.: ZP=0°

So, lines m and m coincide.

Hence, only one perpendicular line can be drawn through a given point.

Similar questions