Question

Consider kite FGHJ.

What are the values of a and b?


A. a = 14, b = 6

B. a = 14, b = 8

C. a = 17. b = 6

D. a=17. b=8

Answer 1

C is the answer.

Step-by-step explanation:

GF = GH so 30 = 2a - 4. First, you add 4 to both sides. Then, divide by 2 on both sides. From this, you should get a = 17.

FJ = HJ so 3b + 6 =24. To find b, subtract 6 from both sides and divide by three on both sides. This should give you b = 6.

Answer 2

Answer: Choice C. a = 17, b = 6

Step-by-step explanation:

A kite is any quadrilateral where we have two pairs of congruent consecutive sides (in contrast to a parallelogram where the opposite sides are congruent). Draw a segment connecting points G and J. Triangle GHJ is congruent to triangle GFJ. We'll use the fact that GH = GF, and also FJ = HJ

So,

GH = GF

2a-4 = 30

2a = 30+4

2a = 34

a = 34/2

a = 17

and

FJ = HJ

3b+6 = 24

3b = 24-6

3b = 18

b = 18/3

b = 6