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# help

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The hypotenuse of an isosceles right triangle is $4\sqrt{2}$ units. How many square units are in the area of the triangle?

Nov 8, 2019

#1
+108650
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let the legs be x units long

Use pythagoras's theorum to solve for x.

Then you can find the area.

Nov 8, 2019
#2
+109334
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If we had a square  with a diagonal  =  4√2 units.....the side of the square  =  4 units

Then the area  of the square  =  side^2  =  4^2  =  16 units^2

So.....the area of this isosceles triangle will be  1/2  of this

Nov 8, 2019
#3
+108650
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Chris you have answered over me for no good reason AND you left out the bit that would cause the most problem.

"Why is the length of the square 4 units and what has a triangle got to do with a square."

If this kid sees your  answer and wants to learn from it at all, which is quite unlikely, those are the questions they would be asking themselves.

I do admit my answer was very basic but it at least gave a hint on how to find the length of the triangle legs.

If the child wanted more help he/she should have, and probably would have asked.

Melody  Nov 8, 2019