Question

the area of an isosceles triangle is 48 CM square if the altitude corresponding to the base of the triangle is 6 cm find the perimeter of the triangle​

Answer 1

Answer:

Given: The area of an isosceles triangle is given as

and the base of the triangle as

To Find: The perimeter of the triangle.

Step 1 of 3

Instruction:

ABC be an isosceles triangle with ‘AD’ as height which is

and area as

. The area of

ABC is half of the product of the base’ BC’ and height ‘AD’.

Using the area of

ABC, find the length of BC.

Calculation:



Step 2 of 3

Instruction: In the isosceles triangle ABC,

. When we apply Pythagoras theorem in

ADB, the square of the hypotenuse will be the square of base and altitude. In

ADB, ‘BD’ is the base and ‘AD’ is the height.

Apply the Pythagoras theorem and find AB.

Calculation:





Step 3 of 3

Instruction: ‘AC’ is also

since in isosceles triangle



Thus the perimeter of

ABC is the sum of all its sides.

Find the perimeter of

ABC.

Calculating