Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
Pythagorean Theorem: [tex]a^2 + b^2 = c^2[/tex]
c represents the longest side of the triangle
If the triangle is a right triangle, the Pythagorean theorem will be true.
(1) 10,24,26
[tex]10^2 + 24^2 = 676[/tex]
[tex]26^2 = 676[/tex]
[tex]10^2 + 24^2 = 26^2[/tex]
Right Triangle
(2) 12,18,20
[tex]12^2 + 18^2 = 468[/tex]
[tex]20^2 = 400[/tex]
[tex]12^2 + 18^2 \neq 20^2[/tex]
Not a right triangle
(3) 15,26,30
[tex]15^2 + 26^2 = 901[/tex]
[tex]30^2 = 900[/tex]
[tex]15^2 + 26^2 \neq 30^2[/tex]
Not a right triangle
(4) 40,50,80
[tex]40^2 + 50^2 = 4100[/tex]
[tex]80^2 = 6400[/tex]
[tex]40^2+50^2 \neq 80^2[/tex]
Not a right triangle
#1 is a right triangle
c represents the longest side of the triangle
If the triangle is a right triangle, the Pythagorean theorem will be true.
(1) 10,24,26
[tex]10^2 + 24^2 = 676[/tex]
[tex]26^2 = 676[/tex]
[tex]10^2 + 24^2 = 26^2[/tex]
Right Triangle
(2) 12,18,20
[tex]12^2 + 18^2 = 468[/tex]
[tex]20^2 = 400[/tex]
[tex]12^2 + 18^2 \neq 20^2[/tex]
Not a right triangle
(3) 15,26,30
[tex]15^2 + 26^2 = 901[/tex]
[tex]30^2 = 900[/tex]
[tex]15^2 + 26^2 \neq 30^2[/tex]
Not a right triangle
(4) 40,50,80
[tex]40^2 + 50^2 = 4100[/tex]
[tex]80^2 = 6400[/tex]
[tex]40^2+50^2 \neq 80^2[/tex]
Not a right triangle
#1 is a right triangle
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.