Question

Construct a right angles triangle ABC, right angle at B, given BC=6cm,AC=8cm. Find the length of A

Answer 1

$[]{\huge{\boxed{\mathfrak{\blue{answer}}}}}[]$

ANSWER IS 10CM

$[]{\small{\boxed{\mathfrak{\pink{ab = 6cm }}}}}[]$

$[]{\small{\boxed{\mathfrak{\pink{bc = \: 8cm}}}}}[]$

$[]{\large{\boxed{\mathfrak{\blue{we \: have \: to \: find \: ac}}}}}[]$

$[]{\small{\boxed{\mathfrak{\pink{see \: attachment }}}}}[]$

$[]{\small{\boxed{\mathfrak{\red{for \: this \: we \: have \: to \: use \: pythogoreus \: theory}}}}}[]$

$[]{\small{\boxed{\mathfrak{\pink{ {ab}^{2}+{bc}^{2}+{ac}^{2} }}}}}[]$

$[]{\small{\boxed{\mathfrak{\blue{or \: putting \: value \: }}}}}[]$

$[]{\small{\boxed{\mathfrak{\pink{ \<{8}^{2} +{6}^{2} = {ac}^{2} }}}}}[]$

$[]{\small{\boxed{\mathfrak{\pink{64 + 36 = {ac}^{2} }}}}}[]$

$[]{\small{\boxed{\mathfrak{\pink{ putting \: value\<100 }}}}}[]$

$[]{\large{\boxed{\mathfrak{\blue{on \: remaining \: square}}}}}[]$

$[]{\small{\boxed{\mathfrak{\pink{ = ac = \sqrt[?]{100} }}}}}[]$

$[]{\huge{\boxed{\mathfrak{\blue{ac \: =10 cm}}}}}[]$

HENCE PROVED AND VERIFIED