Question

The perimeter of a triangle with vertices (0,5), (0, 0) and (4,0) is
a) 5 units
b) 12 units
c) 11 units
d) 9 + 141 units​

Answer 1

Step-by-step explanation:

d)9+✓41

........................

Answer 2

$\huge\boxed{\mathfrak{\red{\fcolorbox{red}{blaxk}{❀❆Question❀❆}}}}$

$\small \red{Find \: the \: perimeter \: of \: a \: triangle \: with \: vertices \: (0,5)(0,0),(4,0)}$

$\huge\boxed{\mathfrak{\red{\fcolorbox{red}{blaxk}{❀❆Answer❆❀}}}}$

$\huge \blue{12 \: units}$

$\huge\boxed{\mathfrak{\red{\fcolorbox{red}{blaxk}{❆❀Step by step❀❆}}}}$

$\small \red{Find \: the \: length \: of \: each \: side}$

$\huge \red{Let \: A \: ( 4 , 0) \: B(0, 0) \: and \: C \: (0 , 3)}$

$\small \red{use \: distance \: formula,}$

$\small \red{AB \: =√(4²+0)=4}$

$\small \red{BC= \: √(0+3²) = 3}$

$\small \red{CA= \: √(4²+3²)=5}$

$\small \red{perimeter \: of \: ∆=3+4+5=12 unit}$

$\huge\boxed{\mathfrak{\red{\fcolorbox{red}{blaxk}{❆❀Explanation❀❆}}}}$

$\small \red{For \: finding \: perimeter \: we \: must \: know \: the \: sides}$

$\small \red{so \: for \: finding \: sides \: by \: the \: given \: vertices \: we \: have \: a \: formula}$

$\small \red{AB=√(4²+0)}$

$\small \red{At \: last \: after \: getting \: sides \: we \: simply \: need \: to \: add \: them}$

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