Question

If a math student squared all three sides of a right triangle and the results were 1441225, and 1369, what is the length of the longest leg of that triangle?

Answer 1

Given the result of the square of all 3 sides of a triangle:

144, 1225 and 1369

We have:

Square of Shortest leg = 144

Square of Longer leg = 1225

Square of Longest leg = 1369

Let's find the length of the longest leg.

To find the length of the longest leg, take the largest result of the squares and find the square root.

Thus, we have:

`\begin{gathered} \text{Length of longest leg = }\sqrt[]{136}9\text{ = }37 \\ \\ \text{Length of longest leg = 37} \end{gathered}`

Therefore, the length of the longest leg of the triangle is 37 units

ANSWER:

37