Help me with this, it's Pythagorean theorem.

Mathematics

2 answers:

Blizzard [7]2 years ago

6 0

Step-by-step explanation:

Let x represent the missing side length.

By Pythagoras' Theorem,

We have x² + 12² = 13².

Therefore x² = 13² - 12² = 25 and x = 5.

(x = -5 is rejected as side lengths are positive)

ziro4ka [17]2 years ago

4 0

Answer:

Let the required side of the triangle be x

By Pythagoras theorem we get,

$x = \sqrt{ {13}^{2} - {12}^{2} } \\ = \sqrt{169 - 144} \\ = \sqrt{25} \\ = \sqrt{ {5}^{2} } \\ = 5$

<h3>5 is the right answer.</h3>

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Gnom [1K]

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8 0

1 year ago

Ben was walking in Manhattan at a constant speed. He went along 5th avenue from 4th to 98th street. At 3:00 he was on 15th stree

muminat

Answer: The starting time is 2:27 and finishing time is 7:09.

Step-by-step explanation: It is given that Ben started from 4th street and he finished at 98th street.

Also, at 3:00, he was on 15th street and at 4:30, he was on 45th street.

That is, time taken to cover (45-15), i.e., 30 streets is 90 minutes, so the time taken to cover 1 street is 3 minutes.

Therefore, Ben covers distance from one street to second in 3 minutes. Since he started from 4th street, and there are 11 streets to cover between 4 and 15, so Ben's starting time was (3:00 - 3×11 min) = 2:27.

And his finishing time was (4:30 + 3×53 min) = 7:09.

Again, the equation that tells us on what street 'N' he was after time 'T' of his starting can be written as

$N=4+\dfrac{T}{3.}$

Thus, the starting and finishing time was 2:27 and 7:09 respectively.

3 0

2 years ago

Find the measure of each missing angle.

nadya68 [22]

Answer:

Step-by-step explanation:

Angle sum property of triangle: Sum of all the angles of a triangle is 180

Alternate interior angles: When two parallel lines are intersected by a transversal, the pair of angles on the inner side of each of these lines but on the opposite side of the transversal are called alternate interior angles

In ΔABC,

∠1 + 90 + 38 = 180 {angle sum property of triangle}

∠1 + 128 = 180

∠1 = 180 - 128

$\sf \boxed{\bf \angle 1 = 52^ \°}$