Question

The perimeter of the triangle is 240cm. If the length of its two sides are 75cm and 90cm, then find the length of third side of the triangle. ​

Answer 1

Answer:ide be kStep-by-sexplanation:

P=s+s+s.240cm=75cm+90cm+kcm.240=165cm+kcm.240cm-165cm=165cm-165cm+k.75cm==k.3rd side=75cm

Answer 2

Answer :

Given :

Measurements of the two sides = 75cm & 90cm

Perimeter of the triangle = 240cm.

Required to find :

1. Length of the third side .

Solution :

We can solve this problem very simply.

Just you need to know some useful properties of the triangle

However ; you need to know about the formulas related to triangle.

Formulas related to Triangle

1. Area of the triangle using the three sides ( this is also called as heron's formula ] =

$\sqrt{s (s - a)(s - b)(s - c)}$

2. Formula for finding semi perimeter =

Average of all three sides.

3. Area of the triangle = 1/2 × base × Height

4. Perimeter of the triangle = sum of all three sides .

( Given above matter is additional information and explanation).

Now , coming to the question

In the question it is given that the measure of two sides of the triangle is 75cm and 90cm.

He gave us one hint that is;

perimeter of the triangle is 240 cm.

Therefore,

Using this hint we are going to solve this problem.

We know that;

perimeter of the triangle = sum of all the 3 sides

so using this condition we can find the perimeter of the triangle.

Hence ,

Side 1 + side 2 + side 3 = perimeter of the triangle.

However, Let the length of third side be " x " cm

Therefore,

According to problem;

75cm + 90cm + x cm = 240cm

165cm + x cm = 240cm

x cm = 240cm - 165cm

x cm = 75cm .

Hence ,

The length of third side is 75cm .

Conclusion:

When we above the end result we can conclude that the given triangle is an isosceles triangle.

Because, length of the 2 sides of the given triangle are equal .