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yuradex [85]
3 years ago
12

The side lengths of a triangle are 6, 8 and 12. Is this a right triangle?

Mathematics
1 answer:
Anna [14]3 years ago
3 0

Answer:

No it's not. 6 to the 2nd power + 8 to the 2nd power ≠ 12 to the 2nd power

Step-by-step explanation:

If you square the shorter lengths and add them together, they add up to one hundred

6^2 + 8^2 --> 38 + 64 = 100

Once you square 12 it equals 144

144 does not equal 100. There for it can't be a right triangle. To be a right triangle, it has to have a ratio pf 3: 4: 5.

Ex: 6: 8: 10,  12: 16: 20, etc.

Hope this helps!

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Which set of side lengths or angle measures can be used to construct a triangle A. 50 inches, 90 inches, 35 inches B. 60 inches,
kolbaska11 [484]

Answer:

D. 60, 45,75

Step-by-step explanation:

For options C and D

For a triangle the sum of the angles must always be equal to 180 degrees

So 180 ≠45+45+80

and

60 +45+ 75= 180

For option A and B

The length of the longer side is equal to the square root of the sum of squares of the other two sides in a triangle.

According to Pythagorus theorem

hypotenuse²= base² + perpendicular²

c²= a²+ b²

90²= 50² + 35²

8100= 2500+1225

8100≠3725

95²= 60²+ 25²

9025= 3600+ 625

9025≠4225

Therefore only D is the correct option

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Step-by-step explanation:

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