Question

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Answer 1

24 cm 32 cm 40 cm

Step-by-step explanation:

The basic sides of a right-angled triangle are in the ratio of 3:4:5. The 3 and 4 are the sides adjacent to the right angle and 5 is the hypotenuse. The perimeter of the basic right-angled triangle is thus 12.

In the present case the perimeter is given as 96 cm. So the sides are 24 cm (or 3*96/12), 32 cm (or 4*96/12) and 40 cm (or 5*96/12).

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Answer 2

Given:

ratio of the two perpendicular side of the triangle$=3:4$

perimeter of the triangle$=108 cm$

To find: the measure of the three sides.

Solution:

Assume that the two ajacent side are 3x and 4x respectively.

Find the third side.

$3rd side =\sqrt{(3x)^2+(4x)^2}$

           $=\sqrt{9x^2+16x^2} \\=\sqrt{25x^2} \\=5x$

Find the value of x.

$3x+4x+5x=108$

$\Rightarrow12x=108\\\Rightarrow x=\frac{108}{12} \\\Rightarrow x=9$

Find the measure of 3 sides.

$4x=4\times9\\\Rightarrow 4x= 36$

$3x=3\times9\\\Rightarrow 3x= 27$

$5x=5\times9\\\Rightarrow 5x= 45$

Hence, the measure of three sides are $36,27,45$respectively.