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Find the lengths of the diagonals of rectangle QRST when \(QS = 20x - 5\) and \(RT = 14x + 7\).

A. 70
B. 99.7
C. 17.5
D. 35

Answer :

The correct option is D i.e.35. A line segment connecting the rectangle's two opposed vertices is known as the diagonal.

The rectangle is split into two identical right triangles by its diagonal. The two-dimensional shape of a rectangle has four sides, four vertices, and four angles. A rectangle's two diagonals are the same length.

Two diagonals divide a rectangle into two right-angled triangles, with the diagonal serving as the hypotenuse on each diagonal. The diagonals cut each other in half, creating an acute angle and an obtuse angle respectively. The diagonal of the rectangle form two congruent triangles.

Since the diagonals of a rectangle are equal

∴ QS = RT

20x - 5 = 14x + 7

6x = 12

x = 2

QS = RT = 35

Learn more about Rectangle here: brainly.com/question/29123947

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