Mathematics, 22.08.2019 02:50 khynia11

Use the pythagorean theorem to find the length of the missing side of a right triangle whose legs equal √2 and 2√15. a right triangle with legs as 2 square root of 15 and square root of 2.
a. 64
b. 4 + 2√15
c. 8
d. none of the above

Answers: 1

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The sides of a right triangle are called the 'legs' and the 'hypotenuse'.
Since you've given us the lengths of the 'legs', the missing side is the 'hypotenuse'

The square of the length of the hypotenuse is

   (square of the length of one leg) + (square of the length of the other leg).

   Hypotenuse² = (√2)² + (2√15)² =

   (2) + (4 x 15) =

2 +    60     = 62.

      Hypotenuse²    = 62

Take the square root of each side: Hypotenuse = √62 = 7.874 (rounded)

None of the choices given is close enough.
It must be "none of the above".

Answer from: Quest

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

Answer from: Quest

exactly you go it

step-by-step explanation:

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