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N76 [4]
3 years ago
8

In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what i

s the value of b, if c=13 and a=12
Mathematics
1 answer:
nevsk [136]3 years ago
7 0

The Pythagorean theorem tells you ...

... c² = a² + b²

... 13² = 12² + b² . . . . . fill in the given numbers

... 169 - 144 = b² . . . . .subtract 12²

... √25 = b . . . . . . . . . take the square root

... b = 5 . . . . . . The value of b you're looking for.

_____

The numbers {5, 12, 13} make what is called a "Pythagorean triple" a set of integers that satisfies the relation of the Pythagorean theorem. These, and the triple {3, 4, 5} are often seen in algebra problems. It can be worthwhile to remember these numbers.

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8 0
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Solve the following problem, round your answer to the nearest 2 decimal places if needed.
blondinia [14]

Applying the midsegment theorem, the <u>value of x = 5</u>

<em><u>Recall:</u></em>

  • The midsegment theorem of a triangle states that the length of the mid-segment (DE) which is parallel to the third side (AC), is half the length of the third side AC of triangle BAC.

<em><u>Thus:</u></em>

DE = 1/2(AC)

  • Substitute

2x - 3 = 1/2(x + 9)

  • Multiply both sides by 2

2(2x - 3) = x + 9

4x - 6 = x + 9

  • Combine like terms

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x = 5

Therefore, applying the midsegment theorem, the <u>value of x = 5</u>

<u></u>

Learn more about the midsegment theorem on:

brainly.com/question/7423948

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