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kicyunya [14]
3 years ago
8

One leg of a right triangle has a length of 3. The other sides have lengths that are consecutive integers. Find these lengths.

Mathematics
1 answer:
Genrish500 [490]3 years ago
7 0

Answer:

Therefore other two sides of the triangle are 4 and 5.

Step-by-step explanation:

Given one leg of a right triangle has a length of 3

Let other sides of the triangle be x and x+1 [ since they are consecutive]

According to the problem,

3²+x²=(x+1)²

⇔9 + x²=x²+2x+1

⇔2x+1=9

⇔2x=9-1

⇔2x=8

⇔x=4

Therefore other two sides of the triangle are 4 and 5.

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