a rhombus has all its internal angles equal. if one of the diagonal is 15cm, find the length of the other diagonal and also find its area
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other diagonal also be 15cms because
all angles are equal so that rhombus is a square so in a square the diagonals are equal so the diagonal is 15cms
hope you understand
all angles are equal so that rhombus is a square so in a square the diagonals are equal so the diagonal is 15cms
hope you understand
Answered by
13
A rhombus that has equal internal angles is a square. Therefore the other diagonal is also 15 cm. To find the area you must first know its side, and to do this you can use the Pythagorean theorem with 15 cm as its hypotenuse and x as its sides. Thus,
[tex] 15^{2}=x^2+x^2 225=2x^2 225/2=x^2 \sqrt{112.5}= \sqrt{x^2} 10.61 cm =x [/tex]
And you can find the area from this,
[tex]A=s ^2 A=(10.61 cm)^2 A=112.57 cm^2[/tex]
[tex] 15^{2}=x^2+x^2 225=2x^2 225/2=x^2 \sqrt{112.5}= \sqrt{x^2} 10.61 cm =x [/tex]
And you can find the area from this,
[tex]A=s ^2 A=(10.61 cm)^2 A=112.57 cm^2[/tex]
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