elif010
Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

What is the length of the hypotenuse?If necessary,round to the nearest tenth

What Is The Length Of The HypotenuseIf Necessaryround To The Nearest Tenth class=

Sagot :

Answer:  85

Work Shown:

[tex]a^2 + b^2 = c^2\\\\40^2 + 75^2 = c^2\\\\1600 + 5625 = c^2\\\\7225 = c^2\\\\c^2 = 7225\\\\c = \sqrt{7225}\\\\c = 85\\\\[/tex]

I used the pythagorean theorem with a = 40 and b = 75. The order of the 'a' and b doesn't matter, as long as c is the largest side.

The 40-75-85 pythagorean triple is the scaled up version of the 8-15-17 triple (multiply each piece by 5).

Answer:

85 yd

Step-by-step explanation:

We know that

[tex]\pmb{\bf H^2=P^2+B^2}[/tex]

Here,

H = c, P = 75 yd, B = 40 yd

[tex] \begin{gathered} \: \sf \implies \: {c }^{2} = (75) {}^{2} + {(40)}^{2} \\ \sf \implies {c}^{2} = 5625 + 1600 \\ \sf \implies \: {c}^{2} = 7225 \\ \sf \implies \: c = \sqrt{7225} \\ \sf \implies \: c = 85 \: yd \end{gathered}[/tex]

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.