Question

the lengths of the three sides of triangle are consecutive odd integers. A square is constructed on each side of the triangle. If the total area of the three squares is 155 what is the area of the largest square ?

Answer 1

Answer:

81

Explanation:

it would help you understand of you drew the figure ,but it is up to you

1st : each side of the triangle (or one side of each square ) is gonna be

side 1 : a + 4

side 2 : a + 2

side 3: a

2nd : add all sides and square it so it will be..

(a+4)² + (a)² + (a+2)² = 155

3rd: bring 'a'

you could just put the whole thing in the calc then 'shift+solve+equale sign'

( put it as x in the calc not 'a' )

a = 5

4th: substitute 5 with 'a' in the largest area which is (a+4)²

(5+4)²

therefor, the answer is 81