Question

Maura is creating a quilt using right triangles. A large right triangle with a side length of 40√12
centimeters has smaller right triangles with side lengths of 5√3
centimeters along it. How many smaller lengths are running along the longer length?
**The operation would be a division of radicals, correct?*** I do not want the answer, just the operation. Thanks

Answer 1

Yes, the operation you would use to find out how many smaller lengths are running along the longer length is indeed a division of radicals. You would divide the length of the larger triangle (40√12 cm) by the length of the smaller triangle (5√3 cm).

The operation would be:

\[
\frac{40\sqrt{12}}{5\sqrt{3}}
\]

Answer 2

Your symbols are not understandable. it would be 40 radical 12 over 5 radical 3. Correct?

Answer 3

Yes, that's correct! You can express it as:

\[
\frac{40 \sqrt{12}}{5 \sqrt{3}}
\]

This represents the division of the larger length (40 radical 12) by the smaller length (5 radical 3). Thank you for the clarification!