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ICSE Class 9 Answered

An isosceles triangle has area 168 square cm if the altitude is 24 cm what is the length of its hypotenuse  
Asked by Roshnimangtani2956 | 02 Oct, 2018, 12:39: PM
answered-by-expert Expert Answer
According to the question,
begin mathsize 16px style 1 half cross times straight b cross times straight h equals 168 fraction numerator begin display style 1 end style over denominator begin display style 2 end style end fraction cross times straight b cross times 24 equals 168 straight b equals 14 space cm end style
BD = DC = 7 cm
In ΔADC,
using Pythagoras 
AD2 + DC2 = AC2 
find AC we get AC = 25 cm
AC = AB = 25 cm
Answered by Sneha shidid | 03 Oct, 2018, 12:54: PM

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