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anygoal [31]
1 year ago
13

What is the length of b

Mathematics
2 answers:
olga nikolaevna [1]1 year ago
5 0

Answer:

24

Step-by-step explanation:

This is a scaled pythagorean triple. If you scale it by dividing by 2, then you see 5 and thirteen, which matches a (5, 12, 13) triple

oksian1 [2.3K]1 year ago
4 0

Answer:

b = 24

Step-by-step explanation:

<u>Concepts</u>

The Pythagorean Theorem states that the sum of the squares of the two other sides on a right triangle is equal to hypotenuse (longest side) squared. It can be represented by the equation a^2+b^2=c^2. We can also use this formula to solve for the other two legs in the right triangle.

<u>Application</u>

In this case, we're asked to find the length of b in the right triangle, given c as 26 and a as 10. Now, we just apply the formula and solve for b.

<u>Solution</u>

Step 1: Set up equation and simplify.

  • 10^2+b^2=26^2
  • 100+b^2=676

Step 2: Subtract 100 from both sides.

  • 100+b^2-100=676-100
  • b^2=576

Step 3: Take square root of both sides.

  • \sqrt{b^2} =\sqrt{576}
  • b=24

Therefore, b = 24.

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