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1 year ago

Find the length of the hypotenuse. Use Pythagoras' theorem c2 = a2 + b2

Mathematics

2 answers:

spayn [35]1 year ago

5 0

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:

(24)² + (10)² = c²

Solving for hypotenuse,

576 + 100 = c²
676 = c²
√(676) = c
√(26*26) = c
26 = Hypotenuse

Therefore, Hypotenuse is 26.

melisa1 [442]1 year ago

4 0

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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