Mathematics
Given: ∠GHE = ∠DFE = 90°, DH = 8, DF = 12, DG = 3x – 1 and DE = 4x + 2.
Find: the lengths of segments DG and DE.

Related Questions
In the given figure, AB || DC, BO = 6 cm and DQ = 8 cm; find: BP x DO.

In △PQR, ∠Q = 90° and QM is perpendicular to PR. Prove that :
(i) PQ2 = PM × PR
(ii) QR2 = PR × MR
(iii) PQ2 + QR2 = PR2
In △ABC, ∠B = 90° and BD ⊥ AC.
(i) If CD = 10 cm and BD = 8 cm; find AD.
(ii) If AC = 18 cm and AD = 6 cm; find BD.
(iii) If AC = 9 cm and AB = 7 cm; find AD.