Question

Pryz is a rhombus. If RK=5, RY=13 and M

Answer 1

Remember that

In a Rhombus

All sides are equal

Diagonals bisect each other perpendicularly

so

Part 22

Find out KY

In the right triangle RYK

Applying the Pythagorean Theorem

RY^2=RK^2+KY^2

substitute given values

13^2=5^2+KY^2

KY^2=13^2-5^2

KY^2=144

KY=12

Part 23

Find out PK

Remember that

Diagonals bisect each other perpendicularly

that means

PK=KY=12

Part 24

mRemember that

Diagonals bisect each other perpendicularly

so

mthat means

m

Part 25

mwe have that

mtherefore

m