Answer: [tex]2\sqrt{42}cm[/tex] ≈12.96 cm
Step-by-step explanation:
To solve this exercise you must apply the Pythagorean Theorem, which is the shown below:
[tex]a^2=b^2+c^2[/tex]
Where a is the hypotenuse and b and c are the other legs.
You know that the triangle has a leg of 11 cm and the hypotenuse is 17 cm. Therefore, you can substitute values and solve for the other leg.
Then you obtain:
[tex](17cm)^2=b^2+(11cm)^2\\b=\sqrt{(17cm)^2-(11cm)^2}\\b=2\sqrt{42}cm[/tex]
b≈12.96 cm
