The triangle inequality Theorem states that the sum of the lengths of any two sides of the triangle is greater than the length of the third slide. The lengths of two sides of a triangle are 14ft and 27ft. Find the possible lengths of the third side The third slide must have a length greater than __ft and less than _ft

12 < x < 42 or x | ( 12,42 ) ft.

Step-by-step explanation:

15 + 27 = 42; 27 − 15 = 12 . Therefore the third side must be

less than 42 ft ant greater that 12 ft. Therefore possible length

of third side of size x is 12 < x < 42 or x | ( 12,42 ) ft [Ans]

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.

jeff jeff

step-by-step explanation: