anonymous one year ago In triangle XYZ, the length of side XY is 25 mm and the length of side YZ is 36 mm. Which of the following could be the length of side XZ? A. 66 mm B. 9 mm C. 63 mm D. 41 mm

1. anonymous

Hi.

2. anonymous

Heres the equation you should use. $a^{2} \times b ^{2} = c^{2}$

3. anonymous

Lets say XY is "a" (25) and YZ = b (36)

4. anonymous

$25^{2} \times 36^{2} = ?^{2}$

5. anonymous

I have a feel i messed up :D

6. anonymous

@phi

7. anonymous

@ganeshie8

8. phi

XY 25 mm and the length of side YZ is 36 if we imagine the two sides can fold, the smallest side would be

9. phi

|dw:1444591332538:dw|

10. phi

if they completely close, the short side would be 11 if we open the sides as big as possible |dw:1444591405538:dw| the biggest the other side could be is 25+36= 61

11. phi

in other words, we the third side should be bigger than 11 but smaller than 61

12. anonymous

Ty for helping phi, lol. I was lost in my own thing.