Respuesta :

perixwinkle
Let's make an equation based off of the pythagorean theorem.
7²+x²=(x+1)²
Since the diagonal is the biggest of the three lengths, the diagonal is the bigger even number. Since they are consecutive, they are one away. Let's distribute.
49+x²=x²+2x+1; let's subtract 1 from both sides.
48+x²=x²+2x; lets subtract x² from both sides.
48=2x; let's divide.
48÷2=24=x
So, since smaller integer is 24, the bigger one is 25. Let's make sure this makes sense.
7²+24²=25²
49+576=625
625=625

So, the missing lengths are 24 and 25.
adioabiola

Here, we are required to find the other sides of the right triangle that are consecutive integers.

The length of the other sides of the right triangle which are consecutive integers are;

24m and 25m.

Since one leg of the right triangle has length, 7m

Let the other two lengths be represented by;.

x. and. (x + 1).

Pythagoras theorem describes the longest side of a right triangle to be given mathematically as;

(hyp)² = (adj)² + (opp)²

In essence, the longest side of the right triangle in discuss is given as ;

  • (x + 1)² = x² + 7².

  • x² + 2x + 1 = x² + 7²

  • 2x + 1 = 49

  • 2x = 48

and, x = 24

The length of the second side is, therefore, 24 +1.

Ultimately, the other sides have length;

24m and 25m.

Read more:

https://brainly.com/question/17033407

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