The sides of a triangle are in the ratio 3:4:5. What is the length of each side if the perimeter of the

Mathematics

2 answers:

Brut [27]3 years ago

6 0

Answer:

A. 22.5 cm, 30 cm, and 37.5 cm

Step-by-step explanation:

If three sides of a triangle are in the ratio 3:4:5, then the lengths of the sides are 3x cm, 4x cm and 5x cm.

The preimeter of the triangle is the sum of the lengths of all sides, thus

$3x+4x+5x=90\\ \\12x=90\\ \\x=\dfrac{90}{12}=\dfrac{30}{4}=7.5\ cm$

So, the lengths of the triangle's sides are

$3x=3\cdot 7.5=22.5\ cm\\ \\4x=4\cdot 7.5=30\ cm\\ \\5x=5\cdot 7.5=37.5\ cm$

den301095 [7]3 years ago

4 0

Answer:

the sides are 22.5cm, 30cm and 37.5cm

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