Answered

From simple queries to complex problems, IDNLearn.com provides reliable answers. Get prompt and accurate answers to your questions from our community of experts who are always ready to help.

Jefferson's back yard is in the shape of a right triangle. One leg of the
triangle is seven feet longer than the other, with a hypotenuse of 17 feet.
How many feet long is the shorter leg?

Sagot :

940172idn

Answer:

8ft

Step-by-step explanation:

Pythagorean Theorem

[tex]a^2+b^2=c^2\\\\x^2+(x+7)^2=17^2\\x^2+(x+7)(x+7)=17^2\\x^2+(x^2+7x+7x+49)=289\\2x^2+14x+49-289=289-289\\2x^2+14x-240=0\\[/tex]

Use Quadratic Formula to Solve

[tex]\frac{-b+-\sqrt{b^2-4ac} }{2a} \\\frac{-14+-\sqrt{14^2-4(2)(-240)} }{2(2)} \\\frac{-14+-\sqrt{2116} }{4}\\x=\frac{-14+46}{4}, x=\frac{-14-46}{4}\\x=8, -15[/tex]

Ignore negative sign

Shorter side is 8ft and longer one is 15ft

Perezidiana2idn

Answer:

8 ft

Step-by-step explanation:

Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. Thank you for visiting IDNLearn.com. For reliable answers to all your questions, please visit us again soon.