find the angles of triangle if they are in the ratio 5:4:3 for class 9
who will give correct answer I will mark as brainlist
Answers
Answered by
0
Here's ur answer ,
The perimeter of given triangle =96 cm
The sides of triangle are in ratio 5:4:3 ,
Let x be the common multiple of the sides ,
5x, 4x,3x
The perimeter of triangle = sum of all sides of triangle
96=5x+4x+3x
96=12x
96÷12=x
x=8
The side of triangle are ,
5x=5×8=40
4x=4×8=32
3x=3×8=24
Let ,
a =40
b=32
c=24
The area of triangle by herons formula ,
s
= a+b+c÷2
=40+32+24÷2
=96÷2
=48
A=
\sqrt{s(s - a)(s - b)(s - c)}s(s−a)(s−b)(s−c)
=
\sqrt{48(48 - 40)(48 - 32)(48 - 24)}48(48−40)(48−32)(48−24)
=
\sqrt{48 \times 8 \times 16 \times 24}48×8×16×24
=
\sqrt{147456}147456
=384 square cm
The area of triangle =384 square cm
Hope it helps you !
The perimeter of given triangle =96 cm
The sides of triangle are in ratio 5:4:3 ,
Let x be the common multiple of the sides ,
5x, 4x,3x
The perimeter of triangle = sum of all sides of triangle
96=5x+4x+3x
96=12x
96÷12=x
x=8
The side of triangle are ,
5x=5×8=40
4x=4×8=32
3x=3×8=24
Let ,
a =40
b=32
c=24
The area of triangle by herons formula ,
s
= a+b+c÷2
=40+32+24÷2
=96÷2
=48
A=
\sqrt{s(s - a)(s - b)(s - c)}s(s−a)(s−b)(s−c)
=
\sqrt{48(48 - 40)(48 - 32)(48 - 24)}48(48−40)(48−32)(48−24)
=
\sqrt{48 \times 8 \times 16 \times 24}48×8×16×24
=
\sqrt{147456}147456
=384 square cm
The area of triangle =384 square cm
Hope it helps you !
Answered by
12
Here is your answer
Let the angle of the triangle are
5x , 4x ,and 3 x
As Sum of all angles of the triangle is 180°
so
Hence The angles are
5× 15 = 75°
4×15. = 60°
3× 15 = 45°
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