Question

I want to know what HP=,KJ=,HJ= and what GK=

Answer 1

HP = 2

HJ = 2.5

HJ = 2.5

GK = √29

Explanation:

I assume that HK and GJ are perpendicular, so triangles GPH, GPK, JPH, and JPK are right triangles.

Use the Pythagorean theorem.

a² + b² = c²

(GP)² + (HP)² = (GH)²

5² + (HP)² = (√29)²

25 + (HP)² = 29

(HP)² = 4

HP = 2

(HP)² + (PJ)² = (HJ)²

2² + (1.5)² = (HJ)²

4 + 2.25 = (HJ)²

(HJ)² = 6.25

HJ = 2.5

If GHJK is a kite, then KJ = HJ and GK = GH.

HJ = 2.5

GK = √29