Question

The two shorter sides of a right triangle have the same length. The area of the right triangle is 7.07 square, what is the length of the triangle?

Answer 1

Each of the equal sides has a length of 3.760 and the hypotenuse has a length of 5.318

Explanation:

Uh, I don't get what exact measurement of the triangle you want so I'll give you the length of all 3 sides.

In your case you've described an isosceles right triangle. Meaning the angle between the two equal sides is 90 degrees. Since we know that the formula for the area of a triangle is `(base * height)/2` and we can use each of the equal sides for base and height, we get:
`(side*side)/2=7.07` so:

`side^2=14.14`
`side=sqrt(14.14)`
`side=3.76`

Now to find the hypotenuse, we can use Pythagoras' Theorem that states that `side1^2+side2^2=hypoten` `use^2` or as more commonly seen `a^2+b^2=c^2`

In our case a and b are equal and we know that `a^2=14.14` so:
`14.14+14.14=c^2`
`c=sqrt(28.28)`
`c=5.318`