CBSE Class 10 Answered
Determine the length of altitude AD of isosceles triangle ABC of side 2a, 2a and a
Asked by dilpreet101kk | 22 Jan, 2020, 04:21: PM
Expert Answer
In ΔADB and ΔADC,
AB = AC .... (Both are of equal length i.e. 2a)
AD = AD .... (Common side)
angle ADB = angle ADC ... (right angles because AD is the altitude)
→ ΔADB 
ΔADC .... (By R.H.S congruency)
ΔADC .... (By R.H.S congruency)Hence, BD = CD ... (Corresponding sides of congruent triangles)
BD = CD = 1/2(BC) = 1/2(a)
In ΔABD,
AB2 = AD2 + BD2
→ AD2 = (2a)2 - [(1/2)a]2 = 15a2 /4
→ AD = 
Answered by Yasmeen Khan | 22 Jan, 2020, 05:26: PM
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