Question

11. In the given Figure, find the length BD.​

Answer 1

Answer:

in triangle ADC,

it is a right angled triangle

therefore, using pythagoras theorem

$ad {}^{2} + 15 {}^{2} = 17 {}^{2} \\ ad {}^{2} = 289 - 225 \\ ad = \sqrt{}64 \\ ad = 8$

now in triangle ABD,

$ad {}^{2} + bd {}^{2} = 10 {}^{2} \\ bd {}^{2} = 100 - ad {}^{2} \\ bd {}^{2} = 100 - 64 \\ bd = \sqrt{}36 \\ bd = 6$

therefore, length of BD is 6m