Question

Can someone help me with this?

Answer 1

a) BD = 5

b) FD = 13

Explanation:

For both questions we follow pythagoras therom.

For the first one we do 3^2 +4^2 = 25 and then we root this answer to 5

For the second we have to find the base of GD in order to find FD. GD will be 4^2+12^2 which equals to 160 and then you root.

Finally, we can find FD which is sqaure root of 160^2 + 3^2 = 169. The square root of 169 is 13. Answer is 13.

Answer 2

Explanation:

AD =BC = FG = EH = 3

AB = DC = EF =HG = 4

BF =AE = DH = CG = 12

Use Pythagorean theorem,

Hypotenuse² = base² +altitude²

BD² = DC² + BC²

= 4² + 3²

= 16 + 9 = 25

BD = √25

BD = 5

DG² = DC² + CG²

= 4² + 12²

= 16 + 144

= 160

FD² = DG² + FG²

= 160 + 3²

= 160 + 9

= 169

FD = √169 = 13

FD = 13