Question

Work out the height of a triangle with base,

Answer 1

Answer:

$\huge{ \fbox{ \sf{11.3 \: mm}}}$

Step-by-step explanation:

$\underline{ \sf Given} :$

$\star{ \sf{ \: Base \: of \: a \: triangle \: (b) \: = 6.3 \: mm}}$

$\star{ \sf{ \: Area \: of \: a \: triangle \: (a) = 35.595 \: {mm}^{2} }}$

$\star{ \sf{ \: Let \: height \: of \: a \: triangle \: be \: h}}$

$\underline{ \underline{ \sf{ \: Finding \: the \: height \: of \: a \: triangle}}} :$

$\boxed{ \sf{Area \: of \: a \: triangle = \frac{1}{2} * base \: * \: height}}$

$\sf{Plug \: the \: values}$

$\mapsto{ \sf{35.595 = \frac{1}{2} * 6.3 * h}}$

$\mapsto{ \sf{35.595 = \frac{6.3h}{2} }}$

$\sf{Apply \: cross \: product \: property}$

$\mapsto{ \sf 6.3h = 35.595 * 2}$

$\mapsto{ \sf{6.3h = 71.19}}$

$\sf{Divide \: both \: sides \: by \: 6.3}$

$\mapsto{ \sf{ \frac{6.3h}{6.3} = \frac{71.19}{6.3}}}$

$\mapsto{ \sf{h = 11.3 \: mm}}$

The height of a triangle = 11.3 mm

Hope I helped!

Best regards! :D

~$\sf{TheAnimeGirl}$

Answer 2

Step-by-step explanation:

formula used is height= area×3/base

35.595×2/6.3

71.19/6.3

11.3mm2 is the answer