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The quadrilateral shown is a rectangle. What is the measure of PR? (round to the nearest hundredth)
A) 34.06
B) 37.12
C) 40.24
D) 43. 36

The quadrilateral shown is a rectangle What is the measure of PR round to the nearest hundredth A 3406 B 3712 C 4024 D 43 36 class=

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absor201

Option B) 37.12 is the right answer

Step-by-step explanation:

It is given that the qudrilateral is a rectangle which means that opposite sides wil be equal and all interior angles will be 90 degrees

So

PS = 17

PQ = SR = 33

The diagonal PR will form a right-angles triangle with PR being the hypotenuse

So,

Base = SR = 33

Perpendicular = PS = 17

Hypotenuse = PR = ?

The Pythagoras theorem will be used to find the length of PR

So,

[tex]H^2 = B^2+P^2\\(PR)^2 = (SR)^2 + (PS)^2\\PR^2 = (33)^2+(17)^2\\PR^2 = 1089+289\\PR^2 = 1378\\[/tex]

Taking square root on both sides

[tex]\sqrt{PR^2} = \sqrt{1378}\\PR = 37.1214[/tex]

Rounding off to nearest 100th

PR = 37.12

Hence,

Option B) 37.12 is the right answer

Keywords: Triangle, Pythagoras theorem

Learn more about triangles at:

  • brainly.com/question/4892332
  • brainly.com/question/4924817

#LearnwithBrainly

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