Given:
Length of one leg = 21 units
Length of hypotenuse = 21√2 units
Eunice states that this is a 30-60-90 triangle.
Eunice is wrong, this is not a 30-60-90 triangle because the hypotenuse is not teice the length of the given leg.
This is a 45-45-90 triangle. A 45-45-90 triangle has a hypotenuse that is √2 times the length of one leg.
A 45-45-90 triangle has the following properties:
• Length of the two legs are equal
,
• The hypotenuse is √2 times the length of one leg
Therefore, we have the following correct statements:
• The measure of the remaining leg is also 21 units
,
• Eunice is not correct. This is a 45-45-90 triangle.
ANSWER:
• The measure of the remaining leg is also 21 units
Eunice is not correct. This is a 45-45-90 triangle.