Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
Sagot :
Given a 45°- 45°-90° triangle, you know that the length of its hypotenuse is:
[tex]c=7.07[/tex]By definition, the hypotenuse of a 45°- 45°- 90° triangle is given by:
[tex]c=2\sqrt{a}[/tex]Where "c" is the length of the hypotenuse and "a" is the length of one leg, because the legs of a 45°- 45°- 90° triangle have the same length.
Therefore, you can substitute the length of the given hypotenuse into the formula and solve for "a", in order to find the length of each leg of the triangle:
[tex]7.07=2\sqrt{a}[/tex][tex]\frac{7.07}{2}=\sqrt{a}[/tex][tex](\frac{7.07}{2})^2=a[/tex][tex]a\approx12.5[/tex]Hence, the answer is:
[tex]Length\text{ }of\text{ }each\text{ }leg\approx12.5[/tex]
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.
