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# ​ How tall is the triangle?

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The white square is 5cm by 5 cm.

How do I work out the height of the triangle (the line the arrow is pointing to)?

Thanks

Walthamx  Dec 5, 2017

#1
+6250
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If the blue square is  3.8 cm  by  3.8 cm ....

the area of the blue square   =   (3.8 cm)2   =   14.44 cm2

the area of the white square   =   (5 cm)2   =   25 cm2

the area of all four triangles   =   25 cm2  -  14.44 cm2   =   10.56 cm2

The four triangles are congruent,so..

the area of one triangle   =   10.56 cm2 / 4   =   2.64 cm2

(1/2) * 3.8 cm * height  =  2.64 cm2

1.9 cm * height   =   2.64  cm2

height   =   2.64 / (1.9)  cm

height   ≈   1.389  cm

hectictar  Dec 5, 2017
Sort:

#1
+6250
+1

If the blue square is  3.8 cm  by  3.8 cm ....

the area of the blue square   =   (3.8 cm)2   =   14.44 cm2

the area of the white square   =   (5 cm)2   =   25 cm2

the area of all four triangles   =   25 cm2  -  14.44 cm2   =   10.56 cm2

The four triangles are congruent,so..

the area of one triangle   =   10.56 cm2 / 4   =   2.64 cm2

(1/2) * 3.8 cm * height  =  2.64 cm2

1.9 cm * height   =   2.64  cm2

height   =   2.64 / (1.9)  cm

height   ≈   1.389  cm

hectictar  Dec 5, 2017

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