Respuesta :

gmany

Answer:

6 mm

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]leg^2+leg^2=hypotenuse^2[/tex]

We have:

[tex]leg=7\ mm,\ leg=a,\ hypotenuse=\sqrt{85}\ mm[/tex]

Substiute:

[tex]7^2+a^2=(\sqrt{85})^2[/tex]       use (√a)² = a for a ≥ 0

[tex]49+a^2=85[/tex]           subtract 49 from both sides

[tex]a^2=36\to a=\sqrt{36}\\\\a=6\ mm[/tex]

lilboi999

Answer:

A. 6mm

Step-by-step explanation:

Using the Pythagorean Theorem, which is a^2 + b^2 = c^2, the c is always the hypotenuse so the problem would be: a^2 + 7^2 = square root of 85 squared. square root of 85 squared is just 85. 7^2 is 49. 85 - 49=36. square root of 36 is 6... If you liked this answer then mark me as brainliest.

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