Question

The perimeter of an isosceles triangle is 43/4 cm. If one of the side measures 9/4 cm. find the third side.​

Answer 1

$\large{\sf{\underline{\underline{Question}}}}$

The perimeter of an isosceles triangle is $\dfrac{43}{4}$ cm. If one of the side measures $\dfrac{9}{4}$ cm. find the third side.

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$\large{\sf{\underline {\underline {Answer}}}}$

$\large{\sf \dfrac{25}{4}}$

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$\huge \pink{ \mid \underline{ \overline{ \sf Brainly \: Solution : }} \mid}$

$\sf Let \: the \: third \: side \: be \: x. \\ \\ \because \sf x + \frac{9}{4} + \frac{9}{4} = \frac{4 3 }{4} \\ \\ \to \sf x + \frac{18}{4} = \frac{43}{4} \\ \\ \sf \to x = \frac{43}{4} - \frac{18}{4} \\ \\ \sf \to x = \frac{25}{4}$

$\huge \orange{ \boxed{ \boxed{ \sf{ \therefore x = \dfrac{25}{4}}}}}$

✔✔ Hence, it is solved ✅✅.

$\huge \blue{ \boxed{ \boxed{ \mathscr{THANKS}}}}$

Answer 2

Answer:

If 9/4 is the equal side then perimeter is 6.25 cm.

Step-by-step explanation:

Perimeter of isosceles triangle = sum of all sides

If equal side is 9/4 cm

Then,

43/4 cm = 9/4 + 9/4 + x

43/4 cm = 18/4 + x

x = 43/4 - 18/4 cm

x = 25/4 cm

x = 6.25 cm

The third side is 6.25 cm.

Note :

Isosceles triangle always has any two sides equal.