Question

The sides of a triangle are in ap. the semi perimeter of the triangle is 30. the second largest side of the triangle is two times the smallest side find the largest side?

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

The largest side is 30 units

Step-by-step explanation:

Given that the sides are in AP

Therefore, let the sides be a - d , a , a + d

Given that the semi perimeter = 30

=> $\frac{a-d+a+a+d}{2}$ = 30

=> 3a = 60

=> a = 20

It is also given that the second largest side of the triangle is two times the smallest side

=> a = 2(a-d)

=> 20 = 2 (20 - d)

=> 20 = 40 - 2d

=> 2d = 20

=> d = 10

Therefore, the sides are: a - d , a , a + d

                                       = 20 - 10 , 20 , 20 + 10

                                       = 10 , 20 , 30

Therefore, the largest side is 30 units