Question

quadrilateral ABCD is a kita with diagonals AC and BD. determine the area of a kita with diagonals BD = 8 units and AC = 12 units

Answer 1

`\huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }`

`\qquad\qquad\qquad \large\underline{ \boxed{ \sf{✰\: Information }}}`

★ Given

• ➣A quadrilateral ABCD shape (kite) with diagonals "AC" and "BD"
• ➣ diagonal BD is of 8units
• ➣ diagonal AC is of 12units

✜ Now let's see about ques ✜

• question is asking about to find area of kite with the above info
• soo we know that

`{ \boxed{ ✟ \: \underline{ \boxed{ \sf \: Area \: of \: kite = ( d_1 * d_2)/(2) \: or \blue{ \: (1)/(2) * d_1 * d_2}}}✟ }}`

`\rule{80mm}{2.5pt}`

✜ Let's substitute value according to formula ✜

`\qquad \rm{➛Area \: of \: kite = (BD×AC)/(2) }`

`\qquad \rm{➛Area \: of \: kite = (8×12)/(2) } \\ \qquad \rm{➛Area \: of \: kite = \frac{ \cancel{96}}{ \cancel2} } \\ \qquad \rm{➛Area \: of \: kite = 48 {units}^(2) }`

`\rule{80mm}{2.5pt}`

★Hence area of kite with diagonals BD = 8 units and AC = 12 units is

`\qquad\qquad\qquad{ \boxed{↪ \underline{ \boxed{ \sf{\: 48 {units}^(2) \green✓ }}}↩}}`

`\rule{80mm}{2.5pt}`

★ More info regarding this topic ★

• ➣ Quadrilateral:- A polygon with four sides,sum of it's interior angle is of 360⁰
• ➣ Kite is also a quadrilateral because of four sides.Kite is a quadrilateral which is proved Euclidean geometry.

`\rule{80mm}{2.5pt}`

Hope it helps !

Answer 2

`\mathsf\blue{♧ANSWER♧}`

`\mathsf \orange{ (x * y)/(2)}`

`\mathsf \green{ (8 * 12)/(2) }`

`\mathsf \orange{ (96)/(2) }`

`\mathsf \green{48 \: square \: units}`