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CBSE Class 9 Answered

Two right triangles ABC and DEF right angled at B and E are of equal area and AB = DE. If A = 35o, find the measure of .
Asked by Topperlearning User | 10 Aug, 2017, 08:31: AM
answered-by-expert Expert Answer

begin mathsize 12px style Area space of space increment ABC space equals 1 half cross times AB cross times BC
Area space of space increment DEF space equals space 1 half cross times DE cross times EF
BC equals EF....... left parenthesis straight i right parenthesis space space.......... left parenthesis areas space are space given space equal space and space AB equals DE space given right parenthesis
So space in space increment ABC space and space increment DEF
AB equals DE space space space space Given
BC equals EF....... left parenthesis ii right parenthesis
angle straight B equals angle straight E...... left parenthesis given right parenthesis
increment ABC approximately equal to increment DEF....... left parenthesis SAS right parenthesis
angle straight A equals angle straight D....... CPCT
angle straight D equals 35 degree space left parenthesis as space angle straight A equals 35 degree right parenthesis end style

Answered by | 10 Aug, 2017, 10:31: AM
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