Question

The perimeter of an isosceles triangle is 35 cm. The ratio of the length of congruent side to the base is 2:3. Find the length of all sides of a triangle.​

Answer 1

QUESTIONS:-

The perimeter of an isosceles triangle is 35 cm. The ratio of the length of congruent side to the base is 2:3. Find the length of all sides of a triangle.​

EXPLANATION:-

Let the two sides be 2x and 3x and 3x [SINCE THE TRIANGLE IS ISOSCELES

SO TWO OF IT'S SIDE IS EQUAL]

Perimeter of the triangle=35 cm

We know that:-

Perimeter of triangle=sum of all it's side

35=2x+3x+3x

35=8x

x=35/8

x=4.3 cm

So the sides will be:-

2x=2(4.2)

=>8.4

3x=3(4.3)

=>12.9

3x=3(4.3)

=>12.9

QUESTION RELATED TO AREA OF TRIANGLE:-

https://brainly.in/question/44284963

https://brainly.in/question/44268969

Answer 2

Given,

The perimeter of an isosceles triangle is $35cm$.

The ratio of congruent side to the base is $2:3$

We have to find the length of all sides of a triangle

We know that an isosceles triangle opposite sides are congruent

So,

Let the sides be $2x,3x$ and $3x$

We know that

Perimeter of an isosceles triangle $= 2a+b$

$35=2x+2(3x)$

$35= 2x+6x$

$35=8x$

$x= \frac{35}{8}$

$x= 4.375$

We have to substitute $x= 4.375$

$2x= 2\times 4.375$

$=8.75$

$3x= 3\times 4.375$

$= 13.125$

Therefore, the length of all sides of a triangle is $8.75, 13.125$ and $13.125$.