The hypotenuse of a right triangle is 50 mm. One leg of the right triangle is 30 mm. What is the length of the other leg? The hypotenuse of a right triangle is 50 mm. One leg of the right triangle is 30 mm. What is the length of the other leg? (4 points)
Group of answer choices

20 mm

40 mm

30 mm

60 mm

40 mm

Step-by-step explanation:

It's 40 mm because the Pythagorean Theorem explains a^2 + b^2 = c^2.

This means the unknown number plus 30^2 = 50^2

What you want to do is 50^2 - 30^2= 20^2; which would be 2500-900=1600.

You got 1600 but that isn't your final answer. You want to find the square root 1600. So 1600 square rooted is 40.

40 mm is your final answer.

∠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.

28

step-by-step explanation:

because that's the answer