Respuesta :

sxnjxnx07

Answer:

5cm

Step-by-step explanation:

To find the missing side we use the hypotenuse theorem.

a^2 + b^2 = c^2

The longest side of the triangle would be c. So substitute the numbers into the variables.

a^2 + 12^2 = 13^2

a^2 = 13^2 - 12^2

a^2 = 169 - 144

a^2= 25

a = √25

a=5

The missing leg's length is 5cm

Applying Pythagorean theorem

[tex]\\ \sf\longmapsto a^2=13^2-12^2[/tex]

[tex]\\ \sf\longmapsto a^2=169-144[/tex]

[tex]\\ \sf\longmapsto a^2=25[/tex]

[tex]\\ \sf\longmapsto a=\sqrt{25}[/tex]

[tex]\\ \sf\longmapsto a=5cm[/tex]

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