the perimeter of a triangle 100cm.it it’s side are in the ratio 4:5:1 . then find it’s longest side? Question the perimeter of a triangle 100cm.it it’s side are in the ratio 4:5:1 . then find it’s longest side? in progress 0 Math Sophia 1 month 2021-08-12T19:00:45+00:00 2021-08-12T19:00:45+00:00 2 Answers 0 views 0

## Answers ( )

☛︎ Perimeter of the triangle is 100 cm

☛︎ It’s side are in the ratio 4:5:1

Which is the longest side of the triangle ?

Let, the sides of the triangle are 4x cm,5x cm and x cm

We know that

ATQ,➝ 4x + 5x + x = 100

➝ 10x = 100

.°. x = 10

Therefore, sides of the triangle are

➝ 4x = 4 × 10 = 40 cm

➝ 5x = 5 × 10 = 50 cm

➝ x = 10 cm

Hence,thelongestsideofthetriangleis50cm.___________________________Given :-To find :-Solution :-Asweknowthat→ Sum of three sides of a triangle is known as perimeter of a triangle.

Now,letthesidesofatrianglebe4x,5x,xAccordingtoquestion→ 4x + 5x + x = 100

→ 9x + x = 100

→ 10x = 100

→ x = 100/10

→ x = 10

Hence,SidesofatriangleTherefore,Verification :-→ 40 + 50 + 10 = 100

→ 100 = 100

Henceverified