# Point H is the base of the height drawn from the apex of the right angle B of triangle ABC

September 27, 2021 | education

| **Point H is the base of the height drawn from the apex of the right angle B of triangle ABC to hepotinuse AC. Find AB if AH = 5 AC = 45.**

ВН – the height of the triangle ABC (by condition).

Consider right-angled triangles ABН and ABC, they are similar (acute angle A – common).

From the similarity of triangles, we write down the ratio of linear measurements:

AB / AC = AH / AB

AB² = AC * AH

AB = √ (45 * 5) = √225 = 15.

Answer: the length of AB is equal to 15 linear units.

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