If $P$ is a point in the interior of $△ A B C$ then fill in the blanks with $>$ or $<$ or $=$ .
(i) $P A + P B . . . . . . . . . A B$
(ii) $P B + P C . . . . . . . . B C$
(iii) $A C . . . . . . . . . P A + P C$

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Solution

(i) $P A + P B > A B$
Because, the sum of any two side of triangle is greater than the third side
(ii) $P B + P C > B C$
Because, the sum of any two side of triangle is greater than the third side
(iii) $A C < P A + P C$
Because, the sum of any two side of triangle is greater than the third side

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Similar questions

Q. If P is a point in the interior of ∆ABC then fill in the blanks with > or < or =.

(i) PA + PB ...... AB
(ii) PB + PC ...... BC
(iii) AC ...... PA + PC

Q. In triangle ABC,

∠ A B C = 90^{\circ}

and P is a point on AC such that

∠ P C B = ∠ P B C

, then PA = __

If P is any point in the interior of a triangle ABC, then PA + PB > AB + AC.

State true or false:

△ A B C

∠ A

is obtuse and

A B = A C

P

is any point in side

B C

P M ⊥ A B

and

P N ⊥ A C .

Then,

P M \times P C = P N \times P B

In the following diagram $P_{A}, P_{B}, P_{C}, P_{D} a n d P_{E}$ be the pressure exerted by the liquid in the vessels A, B, C, D and E respectively. Find the correct order of pressure exerted by each vessel.

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If P is a point in the interior of △ABC then fill in the blanks with > or < or =.(i) PA+PB.........AB(ii) PB+PC........BC(iii) AC.........PA+PC

(i) PA+PB>ABBecause, the sum of any two side of triangle is greater than the third side(ii) PB+PC>BCBecause, the sum of any two side of triangle is greater than the third side(iii) AC<PA+PCBecause, the sum of any two side of triangle is greater than the third side

If $P$ is a point in the interior of $△ A B C$ then fill in the blanks with $>$ or $<$ or $=$ .
(i) $P A + P B . . . . . . . . . A B$
(ii) $P B + P C . . . . . . . . B C$
(iii) $A C . . . . . . . . . P A + P C$

(i) $P A + P B > A B$
Because, the sum of any two side of triangle is greater than the third side
(ii) $P B + P C > B C$
Because, the sum of any two side of triangle is greater than the third side
(iii) $A C < P A + P C$
Because, the sum of any two side of triangle is greater than the third side