The diagram shows an isosceles right triangle. Follow these steps to explore the relationship between side lengths.
✓ 1. Measure the length of each leg and the hypotenuse:
AB = units
AC = units
BC = units
✓ 2. When the length of each leg is 1 unit, the ratio of the hypotenuse to the leg is:
✓ 3. Measure the length of each leg and the hypotenuse of this triangle:
AD = units
AE = units
DE = units
✓ 4. When the length of each leg is 2 units, the ratio of the hypotenuse to the leg is:
✓ 5. Measure the length of each leg and the hypotenuse of this triangle:
AF = units
AG = units
FG = units
✓ 6. When the length of each leg is 3 units, the ratio of the hypotenuse to the leg is:
✓ 7. What conjecture would you state for the relationship between the length of the hypotenuse and the length of the legs of an isosceles right triangle?
The ratio will
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