Question

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

Answer 1

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.

Answer 2

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