A triangular bandana has an area of 46 square inches. The height of the triangle is 5 3 4 inches. Enter and solve an equation to find the length of the base of the triangle. Use b to represent the length of the base. An equation to find the length of the base of the triangle is 46 = . The length of the base of the triangle is inches.

16 inches

Step-by-step explanation:

The area of a triangle = bh/2

where b = base = unknown

h = height = 5 3/4 inches

Area = 46 inches²

Therefore, 46 = base × 5 3/4 / 2

Cross multiply

46 × 2 = base × 5 3/4

92 = base × 5 3/4

Base = 92 ÷ 5 3/4

Base = 92 ÷ 23/4

Base = 92 × 4/23

Base = 4 × 4

Base = 16 inches

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.

3 3 6, because in every triangle the longer side is always shorter than the sum of the other two