we know that
If the triangle has a degree angle and a
degree angle, then the third angle is a
degree angle
so
is a right triangle
<u>Statements</u>
<u>A. The second-longest side is twice as long as the shortest side.</u>
we know that
the ratio between the second-longest side and the shortest side is
therefore
the statement A is False
<u>B. The longest side is twice as long as the shortest side</u>
we know that
the ratio between the longest side and the shortest side is
therefore
the statement B is True
<u>C. Two sides of the triangle have the same length</u>
The statement C is False, because is not an isosceles triangle (45-90-45)
<u>D. The longest side is square root 3 times as long as the shorted side</u>
we know that
the ratio between the longest side and the shortest side is
The longest side is twice as long as the shortest side
therefore
The statement case D is False
<u>the answer is the option</u>
B. The longest side is twice as long as the shortest side