Mathematics, 18.11.2020 04:10, exoticbunnylover123

In the accompanying diagram of triangle XYZ and triangle ABC, angle X cong angle A and angle Y cong angle B . If XY = 5 , YZ = 12 , and AB = 15 , what is BC? A 15X 5 Y12B с

In the accompanying diagram of triangle XYZ and triangle ABC, angle X cong angle A and angle Y cong

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answered: ryleepretty

The length of the segment BC is 36 and this can be determined by using similar triangle properties and the given data.

Given :

Angle X congruent to angle A and angle Y congruent to angle B. XY = 5 , YZ = 12 , and AB = 15.

The following steps can be used in order to determine the length of the segment BC:

Step 1 - According to the given data, XY = 5 , YZ = 12 , and AB = 15. Also angle X congruent to angle A and angle Y congruent to angle B.

Step 2 - So, according to the given data, it can be concluded that both the triangles are similar.

Step 3 - From the above steps, it can be concluded that the corresponding sides ratios of the triangles are equal.

$\rm \dfrac{AB}{XY}=\dfrac{BC}{YZ}=\dfrac{AC}{XZ}$

Step 4 - Now, substitute the values of YZ, XY, and AB in the above expression.

$\rm \dfrac{15}{5}=\dfrac{BC}{12}$

Step 5 - Simplify the above expression.

BC = 36

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answered: ariestburks0513

BC = 36

Step-by-step explanation:

If <X ≅ <A, and <Y ≅ B, therefore ∆XYZ is similar to ∆ABC.

Since ∆XYZ is similar to ∆ABC, it follows that the ration of their corresponding side lengths would be equal.

That is:

$\frac{AB}{XY} = \frac{BC}{YZ} = \frac{AC}{XZ}$

AB = 15

XY = 5

YZ = 12

Thus:

$\frac{AB}{XY} = \frac{BC}{YZ}$

Plug in the values

$\frac{15}{5} = \frac{BC}{12}$

Multiply both sides by 12

$\frac{15}{5}*12 = \frac{BC}{12}*12$

$\frac{15*12}{5} = BC$

36 = BC

answered: Guest

step-by-step explanation:

answered: Guest

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.