CBSE Class 7 Answered
area of an isoscles triangle is 48 cm2. if altitudes corresponding to the base is 8cm ,find perimeter.
Asked by sivanimedarametla | 22 Feb, 2019, 09:18: AM
Expert Answer
Area of ΔABC = 1/2 × AD × BC
→ 48=1/2 × 8 × BC
→BC = 12 cm
In ΔABD, 
D = 900
D = 900By pythagoras theorom, we get
AB2 = AD2 + BD2
→AB2 = 82 + 62 (BD = 6cm .... Altitude of a triangle divides the base into two equal parts)
→AB2 = 100
→AB = 10 cm
ΔABC is an isosceles triangle.
→AB = AC = 10 cm
Perimeter of a ΔABC = AB + BC + AC = 10 + 12 + 10 = 32 cm.
Answered by Yasmeen Khan | 22 Feb, 2019, 11:11: AM
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