The figure shows the location of three points around a lake. the length of the lake, bc, is also shown.

(the figure is not drawn to scale.)

which of the following choices is closest to the distance (in miles) between points a and b?

1. 3.46 miles
2. 5.66 miles
3. 6.32 miles
4. 7.75 miles

2) 5.66 miles

Step-by-step explanation:

The way to solve this is the take the squares of 6 & 2, which are 36 & 4, & subtract them to get 32. Now take the square root of 32 and you will be left with a decimal of 5.656, round up to 5.66.

146%

step-by-step explanation:

∠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.