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Hunter-Best [27]
3 years ago
8

Find BC if segment AD is an altitude of triangle ABC PLEASE HELP

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
3 0

Answer:

BC = 96

Step-by-step explanation:

Since AD is an altitude, then ∠ ADC = 90° , thus

4x + 10 = 90 ( subtract 10 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

Thus

BC = BD + DC

     = 2x + 3x - 4

    = 5x - 4

    = 5(20) - 4 = 100 - 4 = 96

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The Proof for

Part C , Qs 9 and Qs 10  is below.

Step-by-step explanation:

PART C .

Given:

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Statement                             Reason

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Qs 9)

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Statement                             Reason

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4. ΔABD ≅ ΔCBD             4. By S-A-S congruence test

5. ∠A ≅ ∠C                       5. Corresponding parts of congruent Triangles Proved.

Qs 10)

Given:

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Statement                             Reason

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4. ΔMCI ≅ ΔAIC     4. By S-A-S congruence test

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