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ayoismeisalex
28.05.2021 •
Mathematics
Can you help me to solve this Using special right triangles and for the other using trigonometry
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Ответ:
Step-by-step explanation:
*Notes (clarified by the person who asked this question):
-The triangle on the right has a right angle (angle that appears to be a right angle is a right angle)
-The bottom side of the right triangle is marked with a question mark (?)
Triangle 1 (triangle on left):
Special triangles:
In all 45-45-90 triangles, the ratio of the sides is
, where
is the hypotenuse of the triangle. Since one of the legs is marked as
, the hypotenuse must be ![\boxed{30\sqrt{2}}](/tpl/images/1354/1879/22326.png)
It's also possible to use a variety of trigonometry to solve this problem. Basic trig for right triangles is applicable and may be the simplest:
Triangle 2 (triangle on right):
We can use basic trig for right triangles to set up the following equations:
We can verify these answers using the Pythagorean theorem. The Pythagorean theorem states that in all right triangles, the following must be true:
Verify![34^2+(34\tan20^{\circ})^2=\left(\frac{34}{\cos20^{\circ}}\right)^2\:\checkmark](/tpl/images/1354/1879/5ddf9.png)
Ответ:
No problem;
Step-by-step explanation:
Sure, but let me know where you would like to post these questions, I am truly sorry I didn't ask sooner