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38 votes
38 votes
Which is the correct equation to find the missing side?

Which is the correct equation to find the missing side?-example-1
User Carlos Quijano
by
2.5k points

2 Answers

20 votes
20 votes

Answer:

( AB )² + 12 = 162

Explanation:

By Pythagoras theorem,

( AB )² + ( BC )² = ( AC )²

( AB )² + ( 2√3 )² = ( 9√2 )²

( AB )² + 12 = 162

User Tutuchan
by
2.7k points
15 votes
15 votes

Explanation:

it's a right angled triangle so to find the measures of 3rd side we use hypotenuse formula which is,

h² = a² + b²

here in the given figure we have to find base or b²

(AC)² = (CB)² + (AB)²

we know,

AC = 9√2

CB = 2√3

now,

162 = 12 + AB

THEREFORE, OPTION B is correct.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

User Sebastien Windal
by
3.0k points