Find the length of the hypotenuse.
Use Pythagoras' theorem c2 = a2 + b2
2 answers:
Answer:
Hypotenuse = 26
Step-by-step explanation:
Given,
- Base = 24,
- Perpendicular = 10
- Hypotenuse = ?
Solution:
We know that,
- Pythagoras theorem = (Base)²+(Perpendicular)² = (Hypotenuse)²(which is c²)
Substituting the values:
Solving for hypotenuse,
- 576 + 100 = c²
- 676 = c²
- √(676) = c
- √(26*26) = c
- 26 = Hypotenuse
Therefore, Hypotenuse is 26.
Answer: 26
Step-by-Step Explanation:
a = 10
b = 24
c = ?
Using Pythagoras Theorem,
c^2 = a^2 + b^2
c^2 = 10^2 + 24^2
c^2 = 100 + 576
c^2 = 676
=> c = √676 = 26
Hence, c = 26
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