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In the figure below, PQRS is a rectangle with sides of lengths shown. X is the midpoint of 
What is the perimeter of triangle PXQ?
What is the perimeter of triangle PXQ?- a)10
- b)4√2 + 12
- c)3√2 + 12
- d)8√2 + 8
- e)4√2 + 4
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In the figure below, PQRS is a rectangle with sides of lengths s...
The correct answer is D. You know that QRX is a right triangle, and QR = 4. Since X is the midpoint of SR, which is 8, RX must equal 4.
QX = 4√2, since RX is an isosceles triangle where the hypotenuse is √2 times the measure of the legs of the triangle. Since QX = 4√2, PX must also equal 4√2. So, the perimeter of triangle PXQ is 8 + 4√2 + 4√2, or 8√2 + 8.
QX = 4√2, since RX is an isosceles triangle where the hypotenuse is √2 times the measure of the legs of the triangle. Since QX = 4√2, PX must also equal 4√2. So, the perimeter of triangle PXQ is 8 + 4√2 + 4√2, or 8√2 + 8.
Most Upvoted Answer
In the figure below, PQRS is a rectangle with sides of lengths s...
The correct answer is D. You know that QRX is a right triangle, and QR = 4. Since X is the midpoint of SR, which is 8, RX must equal 4.
QX = 4√2, since RX is an isosceles triangle where the hypotenuse is √2 times the measure of the legs of the triangle. Since QX = 4√2, PX must also equal 4√2. So, the perimeter of triangle PXQ is 8 + 4√2 + 4√2, or 8√2 + 8.
QX = 4√2, since RX is an isosceles triangle where the hypotenuse is √2 times the measure of the legs of the triangle. Since QX = 4√2, PX must also equal 4√2. So, the perimeter of triangle PXQ is 8 + 4√2 + 4√2, or 8√2 + 8.
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