Question

5.9 two equal sides of a triangle are 5m less than twice the third side. If the perimeter of the triangle
55 m, find the lengths of its sides.
Find two consecutive positive integers who​

Answer 1

$\red{\textbf{Question :-}}$

$\textsf{two equal sides of a triangle are 5m less}$

$\textsf{than twice the third side. If the perimeter}$

$\textsf{of the triangle 55 m, find the lengths of its }$

$\textsf{sides.}$

$\red{\textbf{Answer :- length = 13m, 21m and 21m}}$

Step-by-step explanation:

$\red{\textbf{Given :-}}$

$\textsf{perimeter of the triangle = 55m}$

$\textsf{Let the third side be x m.}$

$\textsf{Then the two equal sides are of length}$

$\textsf{(2x−5) m.}$

$\textsf{Perimeter of triangle = 55 m.}$

$\textsf{x+(2x−5)+(2x−5)=55}$

$\textsf{5x−10=55}$

$\textsf{x=13}$

$\textsf{Hence, the length of the triangle's sides}$

$\textsf{are 13m, 21m and 21m.}$