Triangles (45/45/90) - Short Side to Hypotenuse

Level 1

In this topic, students practice solving for missing lengths in 45-45-90 right triangles, specifically transitioning from the short sides to the hypotenuse. It falls under the broader unit of practicing Pythagorean theorem applications. Each problem presents a different triangle and requires the student to calculate either a numerical value or a symbolic expression for the missing length, refining their understanding of the specific properties of 45-45-90 triangles. This skill is essential for further studies in geometry and various real-world applications involving right triangles.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Triangles (45/45/90) - Short Side to Hypotenuse Worksheet

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Triangles (45/45/90) - Short Side to Hypotenuse
1
An svg image showing a math problem
Solve for the missing length on this triangle
a A LaTex expression showing 7 over 2
b A LaTex expression showing 7
2
An svg image showing a math problem
Solve for the missing length on this triangle
a A LaTex expression showing 3
b A LaTex expression showing 3 over 2
3
An svg image showing a math problem
Solve for the missing length on this triangle
a A LaTex expression showing 2
b A LaTex expression showing 4
4
An svg image showing a math problem
Solve for the missing length on this triangle
a A LaTex expression showing \frac{square root of 3}{2}
b A LaTex expression showing 1
5
An svg image showing a math problem
Solve for the missing length on this triangle
a A LaTex expression showing square root of 2
b A LaTex expression showing 2
6
An svg image showing a math problem
Solve for the missing length on this triangle
a A LaTex expression showing 7
b A LaTex expression showing \frac{7square root of 3}{2}
7
An svg image showing a math problem
Solve for the missing length on this triangle
a A LaTex expression showing 1
b A LaTex expression showing 1 over 2
8
An svg image showing a math problem
Solve for the missing length on this triangle
a A LaTex expression showing 2
b A LaTex expression showing 4