P and Q are the mid-points of the sides Ca and CB respectively of a ∆ABC, right angled at C. Prove that 4(AQ2+BP2)=54 AB2.

P and Q are the mid-points of the sides Ca and CB respectively of a $∆ A B C$ , right angled at C. Prove that $4 (A Q^{2} + B P^{2}) = 54 A B^{2}$ .

Matching exercise

Match the items on the right to the items on the left.

Step 1

Step 2

Step 3

Step 4

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