Question

NEED GEOMETRY HELP ASAP (12 POINTS)

Answer 1

HJ > PK

Explanation:

Notice that the side PL in one triangle has the same length as side GJ in the other, and side GH has the same size as side LK of the other triangle. Now what is different is the angle subtended between these sides in the case of the triangle on the lower left, the subtended angle is
`90^o` , which is larger angle than that subtended between equal sides on the other triangle (
`85^o`)

Therefore, if the angle subtended by the equivalent sides in the triangle on the left is larger than the angle subtended on the right hand side triangle, then the sides associated with such angle aperture must keep the inequality. That is:

Since
`\angle\,G\,\,\,>\,\,\,\angle \,L`, then HJ > PK