Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
As given, 3:4 is the ratio of shorter leg to longer leg. We assume that hypotenuse is 5. It always works that way: 3:4:5, 5 as the hypotenuse. However this is only in right triangles. Ok so 5 is 35. What we need is the 3. Set up a proportion as such:
(3/5)=(x/35). Cross multiply so you get 3*35 which is 105. Divide it by 5. 105/5=21. 21 is your answer.
(3/5)=(x/35). Cross multiply so you get 3*35 which is 105. Divide it by 5. 105/5=21. 21 is your answer.
[tex]x-unit\ of\ length\\\\3x;\ 4x-legs\\\\Use\ Pythagoras\ Theorem:\\\\(3x)^2+(4x)^2=35^2\\9x^2+16x^2=1225\\25x^2=1225\\x^2=1225:25\\x^2=49\\x=\sqrt{49}\\x=7\\\\Answer:Shorter\ leg\ has\ length\ 3\cdot7=21.[/tex]
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.
