Using the 45-45-90 Triangle Theorem, we know that the ratio of the sides in a 45-45-90 triangle is 1:1:√2.
Since the side opposite the 45 degree angle is 7, we have:
y = 7
Now we can find the length of the side opposite the right angle (x) using the theorem:
x = 7 * √2
x = 7√2
Therefore, the lengths of the missing sides in the triangle are y = 7 and x = 7√2.
Short Answer
Your teacher will grade your response to ensure you receive proper credit for your answer.
Find the lengths of the missing sides in the triangle. Use the 45 degrees dash 45 degrees dash 90 degrees Triangle Theorem. Write your answers as integers, in radical form, or as decimals rounded to the nearest tenth. The diagram is not drawn to scale.
A right triangle is shown with an angle that measures 45 degrees. The side opposite of the 45 degree angle is 7. The side opposite of the unlabeled angle is y. The side opposite of the right angle is x.
1 answer