Question

The diagonals of a square LMNP intersect at K. Given that MK=3 and MN=4.24, find measure ofangles MLN, MKN, MNP. Also find PN, LN, KP!

Answer 1

We have the next information

MK=3

MN=4.24

For the sides, we have because we have a square

MN=PN=4.24

KP is equal to MK

KP=3

LN is the double of MK

LN=2(3)=6

Because we have formed isosceles and right triangles

angles in red are equals and the measure is 90°

angles in blue are equals and the measure is 45°

angle MLN=45°

angle MKN=90°

angle MNP=45°+45°=90°