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lord [1]
3 years ago
13

A triangle has a side lengths of 3 and 8. The diagonal has a length of 11. Can this be a right triangle? Show your work to prove

whether it is or is not.
Fastest answer gets bainliest!!
Mathematics
1 answer:
Grace [21]3 years ago
6 0
If the triangle is a right triangle, the pythagorean theorem would work
since it doesn’t, the triangle is NOT A RIGHT TRIANGLE

(see attached pic for work :))

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3 years ago
Given a triangle ABC such that AB = 4. AC = squareroot (41) and BC = 5.
Vsevolod [243]

Answer:

  A = 51.3°, B = 90°, C = 38.7°

Step-by-step explanation:

The given lengths satisfy the Pythagorean theorem:

  (√41)² = 4² +5²   ⇒   41 = 16 +25

so we know the triangle is a right triangle. The right angle is opposite the longest side, so is angle B, opposite side AC.

The remaining angles can be found using trig functions. For example, we know ...

  tan(A) = BC/AB = 5/4

  A = arctan(5/4) ≈ 51.3°

Then the other acute angle is ...

  C = 90° -51.3° = 38.7°

Angles A, B, C are ...

  (A, B, C) = (51.3°, 90°, 38.7°)

7 0
3 years ago
Geometry, please answer question ASAP
vovangra [49]

Answer: I think it would be C

Step-by-step explanation:

5 0
3 years ago
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