Question

23. The perimeter of an isosceles triangle is 42.c
The base is 1/2 times the equal side. Find the
length of each side.​

Answer 1

Answer:

16.8cm,16.8cm and 8.4cm

Step-by-step explanation:

Given:-

Perimeter of isoscles traingle=42 cm

The base is 1/2 times the equal side

To find:The lenght of each side

Solution:-

Let the measure of each sides be x

$then \: base = \frac{1}{2}x$

We know that

A+B+C=Perimeter of isoscles traingle

$x + x + \frac{1}{2}x = 42$

$\frac{2x + 2x + x}{2} = 42$

$\frac{5x}{2} = 42$

$5x = 84$

$x = \frac{84}{5} = 16.8$

Therefore;

sides are 16.8cm,16.8cm and third is 8.4 cm

As

$\frac{1}{2} \times 16.8 = 8.4$

Answer 2

Answer :

The length of the sides is :

• 16.8cm.
• 16.8cm.
• 8.4cm.

Step-by-step explanation :

Given that :

The base is 1/2 times the equal side.

Perimeter of isoscles traingle = 42 cm.

To Find :

The lenght of each side.

Solution :

$\bigstar\; \textbf{\underline{\underline{Consider as -}}}$

Measure of each sides be y

$Base = \sf \dfrac{1}{2}y$

We know that :

$\bigstar\; \boxed{\sf Perimeter\; of\; isoscles\; traingle = A+B+C}}$

$\sf \implies y + y + \dfrac{1}{2}y = 42\\\\\implies \dfrac{2y + 2y + y}{2} = 42\\\\\implies \dfrac{5y}{2} = 42\\\\\implies 5y = 84\\\\\implies y = \dfrac{84}{5} = 16.8\\\\\\ \bigstar\; \textbf{\underline{\underline{Remember -}}}\\\\An\; isosceles\; triangle\; has\; both\; two\;equal\; sides.$

$\sf \implies \dfrac{1}{2} \times 16.8\\\\\implies 8.4$

$\bigstar\; \textbf{\underline{\underline{Hence,Sides are 16.8cm,16.8cm 8.4 cm }}}$