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2 votes
2 votes
Can someone help me with this problem

Can someone help me with this problem-example-1
User Pavel Alazankin
by
2.5k points

2 Answers

7 votes
7 votes

Answer:

  • The measure of WZ is 16 mm.

Explanation:

We know that:

  • 2(PR + RS + SP) = WY + YZ + WZ
  • PR = 5 mm
  • ∠P = 37°
  • ∠S = 37°
  • PS = 8 mm
  • RS = 5 mm
  • ΔPRS is an isosceles triangle
  • ∠W = 37°
  • ∠Z = 37°
  • WY = 10 mm
  • YZ = 10 mm
  • ΔWYZ is an isosceles triangle

We know that both triangles are isosceles because both of them have same angles on the base. Now, let's solve 2(PR + RS + SP) = WY + YZ + WZ.

  • 2(PR + RS + SP) = WY + YZ + WZ
  • => 2(5 + 5 + 8) = 10 + 10 + WZ [Inserting values]
  • => 2(18) = 20 + WZ
  • => 36 = 20 + WZ
  • => 36 - 20 = WZ
  • => 16 mm = WZ

Hence, the measure of WZ is 16 mm.

User Waldo Bronchart
by
2.9k points
9 votes
9 votes

Answer:

15

Explanation: