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yulyashka [42]
3 years ago
6

What's the length of side AB in ∆ABC shown? A. 5 B. √313 C. 6 D. √15​

Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0

Answer:

The value of x = 5 units.

Step-by-step explanation:

Given the right-angled triangle ∆ABC with the following dimensions

AC = a = 12

BC = c = hypotenuse = 13

AB = b = x

Pythagorean Theorem

For a right-angled triangle with the sides, a and b the hypotenuse c is defined as:

c=\sqrt{a^2+b^2}

Thus, using the Pythagorean Theorem to determine the value 'x',

b=\sqrt{c^2-a^2}

as b = x, so

x=\sqrt{c^2-a^2}

  • a = 12
  • c = 13

so

x=\sqrt{13^2-12^2}

x=5

Therefore, the value of x = 5 units.

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SSSSS [86.1K]

Answer:

Efectivamente, si se suman los resultados de la tabla del 2 con los de la tabla del 5 se obtienen los resultados de la tabla del 7.

Step-by-step explanation:

Esto es así porque 7 puede formarse a través de diversas sumas (7+0, 6+1, 5+2 o 4+3). Por ende, en el caso de las tablas de multiplicaciones, decir, por ejemplo, 7 x 3, es igual a decir 5 x 3 + 2 x3, dado que 5 + 2 es igual a 7.

Entonces, siguiendo el ejemplo, dado que 7 x 3 es igual a 21, la suma de 5 x 3 igual a 15 y 2 x 3 igual a 6 es 21 (15 + 6), con lo cual la afirmación es correcta.

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