find the area of the triangle are in ratio 5:12:13,and its perimeter is 150m. Find the area of the triangle.
Answers
Answered by
0
Answer:
sorry because I am not able to connect my computer
Answered by
2
750 cm
Perimeter of triangle =150m (given)
Let the sides of triangle be,a, b and c,
On dividing 150 m in the ratio 5:12:13, we get
a=5xcm
b=12xcm
c=13xcm
we know that, perimeter of a triangle = Sum of all sides =a+b+c
150=5x+12x+13x
150=30x
x=5
Sides are:
a=5x=25cm
b=12x=60cm
c=13x=65cm
Now,
Let a, b and c be the sides of a triangle.
Apply Heron's Formula of find the area of triangle.
Area =
S(S−a)(S−b)(S−c)
Where S=
2
a+b+c
S=
2
1
(25+60+65)=75cm
Area =
(75(75−20)(75−60)(75−65))
=
(75×50×15×10)
=750
Area of triangle is 750cm
2
.
Similar questions