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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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
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