One side of triangle is 10cm longer than a second side, and the third side is 5cm longer than the second side,

let x be the first side y be the second side and z be the third side

x = y + 10

z = y + 5

x + y + z = 60

substitute the value of x and z

y + 10 + y + y + 5 = 60

3y + 15 = 60

3y = 45

y = 15

x = y + 10

x = 25

z = 20

A = √s(s - a)(s - b)(s - c)

s = (a + b + c)/2

s = (25 + 15 + 20)/2

s = 30

A = √30(30 - 25)(30 - 15)(30 - 20)

A = √30(5)(15)(10)

A = √(5*3*2)(5)(5*3)(5*2)

A = √5*5*5*5*3*3*2*2

A = 5²(3)(2)

A = 25 * 6

A = 150

scalene triangle

Let

x = length first side

Then

x - 10 = length second side

x - 10 + 5 = x - 5 = length third side

x + (x - 10) + (x - 5) = 3x - 15 = 60

3x = 75

x = 25

The length of the three sides are:

First = x = 25 cm

Second = x - 10 = 25 - 10 = 15 cm

Third = x - 5 = 25 - 5 = 20 cm

Notice that:

15² + 20² = 25²

225 + 400 = 625

625 = 625

So it is a right triangle.

The area is then:

Area = (1/2)bh = (1/2)*15*20 = 150 cm²

if the first side is x, the second is x+10, and the third is x+10+5=x+15

the perimeter is the sum of all sides, thus:

(x)+(x+10)+(x+15)=60

3x+25=60

3x=35

x=11 2/3 or 35/3

x+10=21 2/3

x+15=26 2/3

thus the triangle is acute scalene, and the exact area using Hero's Formula, is 509 7/27

hope it helped

sry i couldn't explain the area, but heros formula takes too long. u can email me 4 qs.

peace

Let the second side be x

The other sides are x+5 and x+10

Then 3x+15=perimeter=60

The sides are 15,20 and 25

This is a right triangle, since each is a 5x multiple of 3,4 and 5.

Its area is 150 (1/2 *15*20)

side1= x+10

side2 = x

side3 = x+5

Perimeter = side1+side2+side3

x+10+x+x+5 = 60

3x + 15 = 60

3x = 60-15

3x = 45

x = 45/3

x = 15

Wht is lengths of the three sides?

side1= x+10 = 15+10 = 25 cm

side2 = x = 15 cm

side3 = x+5 = 15+5 = 20 cm

Wht is the exact area of the triangle?

The triangle is a right triangle, thus

A = side2*side3/2

A = 15*20/2 = 150 cm^2

Wht word describes this triangle?

side1= 25 cm; side2 = 15 cm; side3 = 20 cm;

as (25,20,15) => (5,4,3) are three Pithagorean numbers, the triangle is a right (scalene) triangle.

1st side 25 cm second side 15 cm and 3rd side 20cm

area is 150 sq.cm

it is a right angle triangle with 2 sides being 15 and 20 and the hypotenuse 25

P = x + 10 + x + x + 5

60 = x + 10 + x + x + 5

45 = x + x +x

45 = 3x

x = 45/3

x = 15.

Lengths = 15 (2nd side), 25 (1st side) and 20 (3rd side).

let x= length of second side...

x+x+10+x+5=60

x=15,

x+10=25

x+5=20

area 25 square centimeters

the triangle is a right triangle

The first side is 25 the second is 15 and the third is 20.

sorry dont know the rest..

it goes like this:

1st side= x+10

2nd side= x

3rd side= x+5

going by the question we get,

(x+10)+(x)+(x+5)=60

3x+15=60

x=15

x+10=25

x+5=20

note that

25^2=15^2+20^2

therefore,given triangle is right triangle.

area=1/2 x 15 x 20=150sq. units