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2 votes
What is the length of b

What is the length of b-example-1

2 Answers

8 votes

Answer:

24

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

User Monty Khanna
by
9.4k points
9 votes

Answer:

b = 24

Explanation:

Concepts

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.

Application

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.

Solution

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.


  • √(b^2) =√(576)

  • b=24

Therefore, b = 24.

User CronosS
by
7.6k points

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