ellienichole12 ellienichole12
  • 26-05-2021
  • Mathematics
contestada

In the diagram, segment JK = 8. The perimeter of triangle JHK = 18. What is HK?
F
G
H Н
K
0 A 10
B. 8
C. 6
D. 5

In the diagram segment JK 8 The perimeter of triangle JHK 18 What is HK F G H Н K 0 A 10 B 8 C 6 D 5 class=

Respuesta :

aklee18oo
aklee18oo aklee18oo
  • 26-05-2021

Answer:

D. 5

Step-by-step explanation:

We can triangle JHK is isosceles because two of its sides are radii, and radii of the same circle are always equal. Let the radius equal r. We can say that both JH and HK equal r because the extend from the center to the circle. We can set up the equation:

PJHK = JK + JH + HK

18 = 8 + r + r

10 = 2r

r = 5

Since HK equals r, it equals 5.

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