YasminG1706
Answered

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One leg of a 45°-45°-90° triangle measures 6 inches. What is the length of the hypotenuse?

Sagot :

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This is a right triangle (hence the 90° angle), so you'd find the legs (both are the same length of a right triangle) by using Pythagoras Theorem (a2 + b2 = c2) Since you have the hypotenuse (6"), just go backwards. 62 = 36 = a2 + b2. Like I said before the legs are the same length so you can rewrite it as 36 = 2x2, where x = either a or b. Then just solve for x.
lolersgaming1

Answer:

[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

In a 45-45-90 triangle, the legs are x, and the hypotenuse is [tex]x\sqrt{2}[/tex]

Since x, in this case, is 6, the hypotenuse is [tex]6\sqrt{2}[/tex]

Hope this helps!

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