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? ​

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1 month 2021-08-12T19:00:45+00:00 2 Answers 0 views 0

1. ☛︎ 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

___________________________

2. Given :-

• The perimeter of a triangle 100cm. Its side are in the ratio 4:5:1

To find :-

• Longest side of triangle

Solution :-

• Perimeter of triangle = 100cm
• Side of triangle in the ratio = 4 : 5 : 1

As we know that

→ Sum of three sides of a triangle is known as perimeter of a triangle.

Now, let the sides of a triangle be 4x, 5x, x

According to question

→ 4x + 5x + x = 100

→ 9x + x = 100

→ 10x = 100

→ x = 100/10

→ x = 10

Hence,

• Sides of a triangle
• First side = 4x = 40cm
• Second side = 5x = 50cm
• Third side = x = 10cm

Therefore,

• Longest side of a triangle is 50cm

Verification :-

• Perimeter of triangle = 100

→ 40 + 50 + 10 = 100

→ 100 = 100

• Hence verified