Question

find the angles given above ​

Answer 1

Solution:

i) In right ∆EAB—

Applying Pythagoras Theorem–EB² = AE²+AB²

EB² = 9²+6²

EB² = 81+36

EB² = 117 cm

ii) In right ∆DCB—

Applying Pythagoras Theorem–

BD² = DC²+CB²

BD² = 4²+6²

BD² = 16+36

BD² = 52 cm

iii) In right ∆EBD—

Applying Pythagoras Theorem–

ED² = EB²+BD²

ED = √EB²+BD²

ED = √117+52

ED = √169

ED = √13×13

ED = 13 cm