which set of numbers can represent the side lengths, in centimeters, of a right triangle? 8, 12, 15 10, 24…
which set of numbers can represent the side lengths, in centimeters, of a right triangle? 8, 12, 15 10, 24, 26 12, 20, 25 15, 18, 20
Answer
Explanation:
Step1: Apply Pythagorean theorem
For a right - triangle, (a^{2}+b^{2}=c^{2}), where (c) is the longest side.
Step2: Check (8,12,15)
(8^{2}+12^{2}=64 + 144=208), (15^{2}=225). Since (208\neq225).
Step3: Check (10,24,26)
(10^{2}+24^{2}=100+576 = 676), (26^{2}=676). Since (10^{2}+24^{2}=26^{2}).
Step4: Check (12,20,25)
(12^{2}+20^{2}=144 + 400=544), (25^{2}=625). Since (544\neq625).
Step5: Check (15,18,20)
(15^{2}+18^{2}=225+324 = 549), (20^{2}=400). Since (549\neq400).
Answer:
(10,24,26)