Question

What is the length of segment AB?
a.5
b.6
c.8
d.10

Answer 1

Given:

Length of B = 10 - 2 = 8

Length of A = 6

To Find:

The length of the segment AB.

Pythagoras Theorem:

`\large \pink {\sf {{AB}^(2) = {AC}^(2) + {BC}^(2) }}`

Step-by-step explanation:

`\large \purple {\sf {{AB}^(2) = {6}^(2) + {8}^(2)}}`

`\large \blue {\sf {or, \: {AB}^(2) = 36 + 64 = 100}}`

`\large \red {\sf {or, \: AB = √(100) = 10}}`

Answer:

The length of the segment AB is 10.

Option D. 10 is the correct answer.