if angle abc is 12 cm and angle adc is 12 cm and dcb is also 12 cm what is forms and what is angle bad is?
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Step-by-step explanation:
It is given that in △ABC, the altitude AD=12 cm. Also BD=8 cm and DC=18 cm.
AD is the altitude ⇒AD⊥BC.
⇒△ABD and △ADC are both right angled triangles.
⇒AB2=AD2+BD2=144+64=208, and,
AC2=AD2+DC2=144+324=468.
⇒AB2+AC2=208+468=676.
But, BC2=(BD+DC)2=(8+18)2=676.
⇒AB2+AC2=BC2.
⇒△BAC is right angled (by the converse of Pythagoras Theorem).
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