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Math Help - Find the leg lengths of a triangle given hypotenuse?

  1. #1
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    Find the leg lengths of a triangle given hypotenuse?

    Hello, I am 14 years old, in 8th grade, Pre-Algebra.

    My math teacher isn't easy to approach (Grouchy, yells at you when you make a mistake etc.) so I can't ask her for help. I have a Pre-Algebra Exit Exam coming up and I am currently doing review homework and I can't find this in my notes anywhere (believe me I searched for a good couple hours trying to figure this out)

    Long story short I need help!

    "The hypotenuse of an Isosceles right triangle has a length of 9 meters. Find the leg lengths to the nearest hundredth of a meter."

    I have absolutely NO idea how to go about this! Someone please help me. Much thanks in advance.
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  2. #2
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    Quote Originally Posted by rhckids View Post
    Hello, I am 14 years old, in 8th grade, Pre-Algebra.

    My math teacher isn't easy to approach (Grouchy, yells at you when you make a mistake etc.) so I can't ask her for help. I have a Pre-Algebra Exit Exam coming up and I am currently doing review homework and I can't find this in my notes anywhere (believe me I searched for a good couple hours trying to figure this out)

    Long story short I need help!

    "The hypotenuse of an Isosceles right triangle has a length of 9 meters. Find the leg lengths to the nearest hundredth of a meter."

    I have absolutely NO idea how to go about this! Someone please help me. Much thanks in advance.
    The triangle is isosceles therefore the other two sides have the same length, call it x.

    Then from Pythagoras' Theorem: x^2 + x^2 = 9^2 therefore 2x^2 = 81. Solve for x.
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  3. #3
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    Quote Originally Posted by rhckids View Post
    Hello, I am 14 years old, in 8th grade, Pre-Algebra.

    My math teacher isn't easy to approach (Grouchy, yells at you when you make a mistake etc.) so I can't ask her for help. I have a Pre-Algebra Exit Exam coming up and I am currently doing review homework and I can't find this in my notes anywhere (believe me I searched for a good couple hours trying to figure this out)

    Long story short I need help!

    "The hypotenuse of an Isosceles right triangle has a length of 9 meters. Find the leg lengths to the nearest hundredth of a meter."

    I have absolutely NO idea how to go about this! Someone please help me. Much thanks in advance.
    Dear rhckids,

    Since this is a right angled traingle (which I assumed as you have mentioned a hypotenuse.) you can use the Pythagorean law. I have drawn the diagram for you. Hope you can continue.
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  4. #4
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    Thank you so much! I really should have known that (Silly me). Anyhow thank you for taking the time to help me (both of you)!
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