(30 points!) The lengths of the sides of a triangle are in the extended ratio 4:7:9. The perimeter is 60cm. What are the lengths of the sides?

The lengths of the sides are 12cm, 28cm and 36cm.

Step-by-step explanation:

Let the smallest side be 4x, the middle side be 7x and the largest side be 9x.

Smallest side + middle side + largest side = 60cm

4x + 7x + 9x = 60

20x = 60

x = 60 ÷ 20

x = 3

Smallest side (4x) = 3 × 4

                             = 12

Middle side (7x)  = 7 × 4

                           = 28

Largest side (9x) = 9 × 4

                            = 36

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.

its an acute right triangle

step-by-step explanation: