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ch4aika [34]
4 years ago
13

Triangle ABC is shown BCD=30 D is a point on side AC such that BD=DA=AB prove that AD =DC

Mathematics
2 answers:
babymother [125]4 years ago
6 0

Answer:

<BAC=<BAD=60° (ΔABD is an equilateral triangle (all sides are equal) so each angle measures 60°)

All the angles in a triangle add to 180, so for ΔABC, we can write <ABC=180-60-30=90. So ΔABC is a right angled triangle with hypotenuse AC.

sinA=opposite/hypotenuse

sin30=AB/AC

1/2=AB/AC

AC=2AB=2AD

AC=AD+DC

AD+DC=2AD

DC=AD

<em>QED</em>

maw [93]4 years ago
5 0

Answer:

Step-by-step explanation:

what grade are you on lemme help you

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