5. In the figure, find MT and AH.
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MT = 100 & AH = 48
Step-by-step explanation:
ΔMHT is aright angle triangle at H
Applying pythagorus theorem
=> MT² = MH² + HT²
=> MT² = 60² + 80²
=> MT² = 3600 + 6400
=> MT² = 10000
=> MT = 100
Area of Δ MHT = (1/2) MH * HT = (1/2) * 60 * 80
Area of Δ MHT = (1/2) MT * AH ( as AH ⊥ MT)
= (1/2) * 100 * AH
Equating areas
=> (1/2) * 100 * AH = (1/2) * 60 * 80
=> AH = 40
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