alexreddin3127
27.06.2019 •
Mathematics
Which set of numbers can represent the side lengths, in centimeters, of a right triangle?
0 8, 12, 15
o 10, 24, 26
o 12, 20, 25
15, 18, 20
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Ответ:
The set {10 , 24 , 26} formed a right triangle
Step-by-step explanation:
* Lets explain how to check the sides lengths which formed a
right triangle
- In triangle ABC
# If AC is the longest side in length
# If (AC)² = (AB)² + (BC)²
∴ AB , BC , AC formed a right angle triangle
∴ m∠B = 90° (The angle opposite to the longest side)
∴ AC is the hypotenuse
* Now lets solve the problem
- In set 8 , 12 , 15
∵ The longest side is 15 cm
∴ (15)² = 225
∵ (8)² + (12)² = 64 + 144 = 208
∵ (15)² ≠ (8)² + (12)²
∴ The set not formed a right triangle
- In set 10 , 24 , 26
∵ The longest side is 26 cm
∴ (26)² = 676
∵ (10)² + (24)² = 100 + 576 = 676
∵ (26)² = (10)² + (24)²
∴ The set formed a right triangle
- In set 12 , 20 , 25
∵ The longest side is 25 cm
∴ (25)² = 625
∵ (12)² + (20)² = 144 + 400 = 544
∵ (25)² ≠ (12)² + (20)²
∴ The set not formed a right triangle
- In set 15 , 18 , 20
∵ The longest side is 20 cm
∴ (20)² = 400
∵ (15)² + (18)² = 225 + 324 = 549
∵ (20)² ≠ (15)² + (18)²
∴ The set not formed a right triangle
* The set {10 , 24 , 26} formed a right triangle
Ответ:
Its B.
Step-by-step explanation:
Took the test on edg