Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

please help!!!
Given the length of three sides of a triangle, which is a right triangle?
(1) 10,26,24
(2) 20,12,18
(3) 30,15,26
(4) 40,50,80

And also explain why it is the answer.

Sagot :

iloveonedirection
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
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.