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The perimeter of a right-angled triangle is 96 cm.
The lengths of its sides are in the ratio 6:8:10
Work out the area of the triangle in cm”.
B x W x = 2
Total marke: 4

Respuesta :

Answer:

[tex]A=384\ cm^2[/tex]

Step-by-step explanation:

Let the sides of a triangle be 6x,8x and 10x.

Perimeter of the triangle, P = 96 cm

We need to find the area of the triangle.

P = sum of all sides

6x+8x+10x = 96

24x = 96

x = 4

Sides are :

6x = 6(4) = 24 cm

8x = 8(4) = 32 cm

10x = 10(4) = 40 cm

Area,

[tex]A=\dfrac{1}{2}\times b\times h\\\\A=\dfrac{1}{2}\times 24\times 32\\A=384\ cm^2[/tex]

So, the area of the triangle be [tex]384\ cm^2[/tex].

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