In triangle ABC, BM is the median and BH is the height. It is known that AC = 18 and BC = BM. Find AH.
| September 28, 2021 | education
1) MC is half of the AC, therefore AC = 42 centimeters.,
BMC triangle is isosceles, hence BH is median and height.,
2) MH is half of the MC, therefore MC = 21 centimeters,
3) Find AH, AH = AM + MH = 42 + 21 = 63 centimeters.
Answer: Side AH = 63 centimeters.
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