Question

Work out the height of a triangle with base,

base = 6.3mm and area,
Area = 35.595mm squared.

Answer 1

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

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 = (1)/(2) * base \: * \: height}}`

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

`\mapsto{ \sf{35.595 = (1)/(2) * 6.3 * h}}`

`\mapsto{ \sf{35.595 = (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{ (6.3h)/(6.3) = (71.19)/(6.3)}}`

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

The height of a triangle = 11.3 mm

Hope I helped!

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`\sf{TheAnimeGirl}`

Answer 2

Explanation:

formula used is height= area×3/base

35.595×2/6.3

71.19/6.3

11.3mm2 is the answer