63.4k views
18 votes
AB + BC = AC

x + 16 + 4x + 11 = 77
5x = 77 - 27
5x = 50
x = 50/5
x = 10
AB = x + 16
AB = 10 + 16
AB = 26

What is the reasoning for each step

1 Answer

9 votes

Hey there mate :)

As per question, AB + BC = AC are the sides of a triangle.

=> AB + BC = AC

( AC is hypotenuse and AB and BC are remaining two sides )

=> (x + 16) + (4x + 11) = 77

(These are the given values of each side such as [x+16]=AB ; BC=[4x+11] and AC=77)

=> 5x = 77 - 27

=> 5x = 50

=> x = 50/5

=> x = 10

( Now these above steps are the continuing solving processes of given values)

=> AB = x + 16

(Previously we got value x and now substitute its value)

=> AB = 10 + 16

=> AB = 26

(Now these are the remaining solving processes)

~ Benjemin360

User Rohit Azad Malik
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories