The area of a square garden is 128 m2 how long is the diagonal?

If we know the area, we can first find the side length of this garden. The area of a square is the side length squared. So, we can write:

x^2 = 128

Square root both sides, and you get

x = sqrt (128)

The diagonal of the square is the side length times sqrt (2) because the diagonal plus two side lengths make a 45-45-90 triangle. So:

sqrt (128) * sqrt (2) = sqrt (256) = 16.

The length of the diagonal is 16 meters.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.