If P is any point with in a triangle A B C, then P A + C P is equal to

Question

If P is any point with in a triangle A B C, then P A + C P is equal to (A) A C + C B (B) B C + B A (C) C B + A B (D) C B + B A

Tardigrade Admin · Accepted Answer

CP + PA = CA <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/02ae5f788e7ebc1abff07b0642bfadae-.png" /> By triangle law, C A=C B+B A ∴ CP + PA = CB + BA

Q. If $P$ is any point with in a $△ A BC$ , then $P A + CP$ is equal to

$A C + CB$

$BC + B A$

$CB + A B$

$CB + B A$

$CP + P A = C A$

By triangle law,
$C A = CB + B A$
$∴ CP + P A = CB + B A$

Q. If P is any point with in a △ABC, then PA+CP is equal to

AC+CB

BC+BA

CB+AB

CB+BA