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.

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

Given,

Perimeter of isosceles traingle = 43/4cm

Measure of two equal sides = 9/4cm.

(other than base,each equal to a)

Now, let the third sides of isosceles traingle be x.(base)

Now, We know=>

Perimeter of Isosceles traingle= 2a + b

=>Perimeter = 2(a) + x

=>43/4 = 2(9/4) + x

=>x = (43/4 - 9/2)

=>x =( 43-18)/4

=>x = 25/4

=>x= 6.25cm

Hence the length of the third side is 6.25cm or 25/4cm.

Some important information=>>

1) Isosceles traingle

=The traingle which has any two of the sides equal and the third side is generally taken as base.

Perimeter of Isosceles traingle= 2a + b

where a = The equal sides and

b = base.

2) Equilateral traingle

= The traingle which is having all of its sides equal is called an Equilateral traingle.

Perimeter of Equilateral traingle=3a

where a is one of the side of the equilateral traingle.