Question

find the lenghts of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth.
7 y
x at 45 degree angle

Answer 1

Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth. 7, y, x at 45 degree angle

Solution.

To find the length of the leg y of the right triangle let's use the tangent function for $45{}^{\circ}$ angle $\tan 45{}^{\circ} = \frac{7}{y}$ , then $y = \frac{7}{\tan 45{}^{\circ}} = \frac{7}{1} \approx 7$ .

To find the hypotenuse let's use the Pythagorean theorem:

$$x ^ {2} = y ^ {2} + 7 ^ {2}$$ $$x = \sqrt {7 ^ {2} + 7 ^ {2}} = \sqrt {9 8} \approx 9. 9$$

Answer.

7,9.9