In rectangle pqrs, pq = 18, ps = 14, and pr = 22.8. diagonals and intersect at point t. what is the length of ? a. 7 b. 9 c. 11.4 d. 22.8

Question

25-10-2022
Mathematics

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In rectangle pqrs, pq = 18, ps = 14, and pr = 22.8. diagonals and intersect at point t. what is the length of ? a. 7 b. 9 c. 11.4 d. 22.8

Answer :

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contexto1019 contexto1019 · Answer 1 · 2022-11-03T06:36:05-04:00

In rectangle pqrs, pq = 18, ps = 14, and pr = 22.8. diagonals and intersect at point t. The length of diagonal from the intersection point p is correct option is c. 22.8

We have given rectangle PQRS

Side PQ =18 .

Side PS = 14 .

Diagonal PR = 22.8 .

Properties of rectangle :

Opposite sides of the rectangle are equals.

Diagonals of the rectangle are equal .

Diagonals of rectangles bisect each other.

Then by second property :

Diagonal PR =QS

QS = 22.8

By the Third property

TQ = 1/2× QS

TQ = 1/2 × 22.8

TQ = 11.4

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