The sides of triangle are in the ratio 13: 14: 15 and it's perimeter is 294 cm calculate its area and the length of the altitude on the longest side
Answers
Step-by-step explanation:
Let the sides of the triangle be 13x, 14x and 15x
where a=13x, b= 14x and c= 15x
According to question,
Perimeter of the triangle =13x+14x+15x
294=42x
294/42=x
x=7
13x= 13*7=91
14x=14*7=98
15x=15*7=105
So, the sides of the ∆ are 91, 98 and 105
Therefore, s= 91+98+105/2
By using Heron's formula,we get
Area of ∆= √s(s-a)(s-b)(s-c) ( solve using this formula)
After that
area = 1/2 * base( it has the shortest side in a ∆) * height( it's size is lesser than hypotenuse but it is bigger than base)
Solve the rest of the sum, if you have any doubt I am here to clear it out, just comment on my answer
Area of triangle= Length of altitude=
Step-by-step explanation:
Given,
Sides of a triangle in the ratio are 13:14:15
Perimeter of triangle =294 cm
Solution,
Let sides of triangle are
Perimeter of triangle=a+b+c
Sides of a triangle are
Semi perimeter of triangle
Area of triangle by Herons formula
Area of triangle
If base is longest side then calculate altitude on longest side.
Let altitude is h