In kite PQRS , TQ=3 cm and TP=4 cm. What is SP ? Enter your answer in the box.
2 answers:
Answer:
Kite is a quadrilateral in which two disjoint pairs of consecutive sides are congruent
Given: In kite PQRS
where PR and SQ are the diagonals of Kite respectively as shown in the figure given below.
Given: TQ = 3 cm and TP = 4 cm
Let PR is the main diagonal and SQ is the cross diagonal of kite PQRS as shown in figure, also let T is the intersection point of PQRS.
By Property of Kite, diagonal SQ bisects PR at perpendicular angle i.e, 90 degree.
i,e
Then, in right angle ΔQTP
[Using Pythagoras theorem]
Substitute the given values of TQ and TP we have;
Also, PQ = SP [by definition of kite]
therefore, the side SP = 5 cm.
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Answer:
Since the measurement can't be negative the correct answer for this case would be
Step-by-step explanation:
Let's assume that the figure attached illustrate the situation.
For this case the we know that the original area given by:
And we know that the initial area is a half of the entire area in red , so then:
And we know that the area for a rectangular pieces is the length multiplied by the width so we have this:
We multiply both terms using algebra and the distributive property and we got:
And we can rewrite the expression like this:
And we can solve this using the quadratic formula given by:
Where if we replace we got:
And the two possible solutions are then:
Since the measurement can't be negative the correct answer for this case would be