Question

Can someone help me with this problem

Answer 1

13. x + y = 26 + 24 = 50

14. Answer (E) 9 can not be the third side of the triangle

Explanation:

13. In the figure we have two right angled triangles by using Pythagoras theorem in each triangle

∴ y =
`\sqrt{30^(2)-18^(2)}=24`

∴ x =
`\sqrt{10^(2)+24^(2)}=26`

∴ x + y = 26 + 24 = 50

14. In any triangle the sum of the smallest 2 sides must greater than the

third side

∵ If the lengths of the 3 sides are 7 , 16 and 9

∴ 7 + 9 = 16 and the length of the third side = 16

∴ 9 can not be the third side