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lesantik [10]
3 years ago
14

Determine whether each set of side lengths could be the sides of a right triangle. Drag and drop each set of side lengths to the

correct box. 10.5cm,20.8cm,23.3cm
6cm, 22.9cm,20.1cm
Mathematics
1 answer:
Neko [114]3 years ago
7 0

Answer:

  • 10.5cm,20.8cm,23.3cm — yes
  • 6cm, 22.9cm,20.1cm — no

Step-by-step explanation:

If the sides form a right triangle, the sum of the squares of the shorter two sides will equal the square of the longest side.

1. 10.5^2 + 20.8^2 = 23.3^2 . . . . . true algebraic statement; right triangle

__

2. 6^2 +20.1^2 = 440.01 ≠ 22.9^2 = 524.41 . . . . . this is an obtuse triangle

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A^2(64a^2-3)/3=27-4a^2/4
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First get rid of the paranthesis,
{a}^{2} (64 {a}^{2}  - 3) = 64 {a}^{4} -  3 {a}^{2}
Then set the denominators equal:
\frac{ 256 {a}^{4}  - 12 {a}^{2}}{12}  =  \frac{81 - 12 {a}^{2} }{12}
Then remove the denominators and solve:
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