# SIDES OF TRIANGLE 2;6;7 AND LONGEST OF TRIANGLE IS 24.5 WORK OUT PERIMETER

## Answers

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**Step-by-step explanation:**

## Let the sides of triangles are 3x,4x and 5x.

## And perimeter of the triangle is 144cm.

## So , 3x+4x+5x=144

## 12x=144

## x=12

## so, the sides are triangle are 3(12)=36cm, 4(12)=48cm , 5(12)=60cm

## so , the longest side is 60 cm.

## Area of triangle =

## s(s−a)(s−b)(s−c)

## here , s=72 and a=36, b=48 c=60

## =

## 72(72−36)(72−48)(72−60)

## =

## 72(36)(24)(12)

## =

## 746496

## = 864

## So, the area of triangle is 864 cm

## 2

## and the height corresponding to longest side h=

## 60

## 2×864

## =28.8cm

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