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An isosceles triangle ABC has its vertices on a circle. If AB =13 cm BC= 13cm and AC= 10cm calculate the height BM of the triangle

Answer :

xero099

Answer:

[tex]BM = 12\,cm[/tex]

Step-by-step explanation:

The height BM of the triangle can be determined by using the Pythagorean theorem:

[tex]BM = \sqrt{BC^{2}-\left(\frac{1}{2}\cdot AC \right)^{2}}[/tex]

[tex]BM = \sqrt{(13\,cm)^{2}-(5\,cm)^{2}}[/tex]

The height of the isosceles triangle is:

[tex]BM = 12\,cm[/tex]

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