3 years ago

Solve for H.........

Mathematics

1 answer:

natulia [17]3 years ago

3 0

Answer:

H = 3.46

Step-by-step explanation:

By applying mean ratio theorem in the given triangles,

$\frac{BD}{AD}= \frac{AD}{DC}$

AD² = BD × DC

AD² = (6 - 4) × 4

AD = √8

AD = 2√2

By applying Pythagoras theorem in ΔABD,

Hypotenuse² = (leg 1)² + (leg 2)²

AB² = AD² + BD²

H² = (√8)² + 2²

H² = 8 + 4

H = √12

H = 3.46

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