untagged

Let the base of the isosceles $△$ be $y$

According to the 1st condition,

$x+x+y=30$

$2x+y=30$

According to the 2nd condition

$x=y+3$

$x−y=3$

Solving equation (1) and (2)

$2x+y=30$

$x−y=3$

-------------------

$3x=33$

$x=333 $

$x=11$

By substituting $x=11$ in equation (1)

$2x+y=30$

$2(11)+y=30$

$22+y=30$

$y=30−22$

$=8$

$∴$ The length of the sides of a $△$ are $11cm,11cm$ and $8cm$.

Answer verified by Toppr

View solution

View solution

View solution

View solution

View solution

View solution

View solution

View solution

View more

Create custom Assignments

Customize assignments and download PDF’s