Question

Paul sketched a right angel with legs of length a, b, and h. Then he writes an expression for the length of the hypotensure. What expression did he writes and explain.

Answer 1

Paul might have written the expression
`h^2=a^2+b^2`.

Explanation:

Given:

Length of the leg 1 = a

Length of the leg 2 = b

Hypotenuse = h

We need the expression Paul has written:

Solution:

Now we know that;

The figure sketched by Paul is a right angle triangle.

Now by Pythagoras Theorem which states that;

"The square of the length of the hypotenuse is equal to sum of the square of the length of the legs."

equation can be framed as;

`h^2=a^2+b^2`

Hence Paul might have written the expression
`h^2=a^2+b^2`.