Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
8th June, 2023

Calculating angle ABD.

Let it be a.


Using cosine rule.


25 = 36+9-2*18cosa

36cosa = 45-25

a = acos(20/36)°

a = acos(5/9)°


Calculating x.


Using cosine rule.


x² = 36+144-2*6*12cos(acos(5/9))

x² = 180-144(5/9)

x² = 180-(5*16)

x² = 100

x = 10 units.

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