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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
avatar+108650 
+2

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
avatar+109334 
+1

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

 

 

cool cool cool

 Nov 8, 2019
 #3
avatar+108650 
0

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

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