Given that a triangle LMN has side inches of 18.5 inches, 10, inches, and 15.5 inches, prove triangle LMN is aright triangle.

LMN is not a right triangle.

Step-by-step explanation:

To verify that the lengths of a triangle for a right triangle, all we need to do is to check it they satisfy the Pythagoras Theorem.

Pythagoras Theorem:

The Hypotenuse is always the longest side.

Since no angle is given, the two other sides can be alternated.

Given lengths of triangle LMN: 18.5 inches, 10, inches, and 15.5 inches

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step-by-step explanation:

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.