Question

I need help with this math problem

Answer 1

• 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.

Answer 2

WZ = 16mm

Explanation:

Given triangles are similar and isosceles if the length of PS is 8 mm then the length of WZ must be = 16 because the length of YW is twice of the length of RP