At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
Short leg be x
- Perpendicular=P=x
- Base=B=x+5
- Hypotenuse=H=2x+1
Apply Pythagorean theorem
[tex]\\ \rm\Rrightarrow P^2+B^2=H^2[/tex]
[tex]\\ \rm\Rrightarrow x^2+(x+5)¥2=(2x+1)^2[/tex]
[tex]\\ \rm\Rrightarrow x^2+x^2+10x+25=4x^2+4x+1[/tex]
[tex]\\ \rm\Rrightarrow 2x^2+10x+25=4x^2+4x+1[/tex]
[tex]\\ \rm\Rrightarrow 4x^2-2x^2+4x-10x+1-25=0[/tex]
[tex]\\ \rm\Rrightarrow 2x^2-6x-24=0[/tex]
[tex]\\ \rm\Rrightarrow x^2-3x-12=0[/tex]
[tex]\\ \rm\Rrightarrow x=\dfrac{3\pm\sqrt{9+48}}{2}[/tex]
[tex]\\ \rm\Rrightarrow x=\dfrac{3\pm \sqrt{57}}{2}[/tex]
[tex]\\ \rm\Rrightarrow x=\dfrac{3\pm 7.2}{2}[/tex]
[tex]\\ \rm\Rrightarrow x=1.5\pm 3.6[/tex]
Take positive
[tex]\\ \rm\Rrightarrow x=1.5+3.6=5.1[/tex]
- P=5.1
- B=10.1
- H=11.2
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. 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.
