Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
10th October, 2025

Calculating Length x (AC).


Notice.


BC = AD = 9 units.


a = 9+7

a = 16 units.

a is BD.


It implies;


9² = 15²+16²-2*15*16cosb

81 = 225+256-480cosb

480cosb = 481-81

cosb = 400/480

b = acos(5/6)°

b is angle ABD.


Calculating x.


x² = 15²+9²-2*15*9cos(acos(5/6))

x² = 225+81-270(5/6)

x² = 306-(45*5)

x² = 306-225

x² = 81

x = 9 units.

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