# A square is put together by two triangles. The hypotenuse is 11 cm and width of 8 cm. Find the height of the triangle.

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by lop

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by lop

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Name the square as A, B, C and D

Draw a line from A to C

Let AB=8cm

Let AC=11cm

Let BC=?

In triangle ABC

AB^2 + BC^2 = AC^2 :

(ACCORDING TO PYTHAGORAS THEOREM)

(8cm)^2 + BC ^2 = (11cm)^2

= 64cm^2 + BC ^2 = 121cm^2

= BC^2 = 121cm^2 - 64cm^2

= BC^2 = 57cm^2

= BC = 57cm^2 root

= BC = 7.54 cm

Therefore; Height of the triangle = 7.54cm

Draw a line from A to C

Let AB=8cm

Let AC=11cm

Let BC=?

In triangle ABC

AB^2 + BC^2 = AC^2 :

(ACCORDING TO PYTHAGORAS THEOREM)

(8cm)^2 + BC ^2 = (11cm)^2

= 64cm^2 + BC ^2 = 121cm^2

= BC^2 = 121cm^2 - 64cm^2

= BC^2 = 57cm^2

= BC = 57cm^2 root

= BC = 7.54 cm

Therefore; Height of the triangle = 7.54cm