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

Guest Nov 8, 2019

#1**+2 **

let the legs be x units long

Use pythagoras's theorum to solve for x.

Then you can find the area.

Melody Nov 8, 2019

#2**+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

CPhill Nov 8, 2019

#3**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