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triangle ABC, median AM is such that angle BAC is divided in the ratio 1:2 and AM is extended through M to D so that angle ABD is a right angle. ... Let

Answer:

Hence, the length of segment AD is 5 units

Step-by-step explanation:

Clearly we could see that the segment AD is the hypotenuse of the right angled triangle ΔDGA.

where GA is the base of the right angled triangle.

DG is the perpendicular of the triangle.

Also length of GA=4 units.

and length of DG=3 units.

Hence, length of AD is calculated using the Pythagorean Theorem in the triangleΔDGA:

[tex]AD^{2}=GA^2+DG^2\\ \\AD^2=4^2+3^2\\\\AD^2=16+9\\\\AD^2=25\\\\AD=5[/tex]

Hence, the length of segment AD is 5 units.

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