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nignag [31]
3 years ago
15

The length of a rectangular screen is 6 feet, and the width of the screen is 8 feet. What is the length of a diagonal of this sc

reen in feet?
Mathematics
1 answer:
dem82 [27]3 years ago
7 0

Answer:

Length of diagonal = 10 feet

Step-by-step explanation:

Length of a rectangular screen = 6 feet

Width of the rectangular screen = 8 feet

Since, all interior angles of a rectangle are 90°,

Triangle formed with two adjacent sides and the diagonal will be a right triangle.

By applying Pythagoras theorem,

Hypotenuse² = (leg 1)² + (leg 2)²

(Diagonal)² = (leg 1)² + (leg 2)²

Diagonal = \sqrt{6^2+8^2}

               = \sqrt{100}

               = 10 feet

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The trapezoid ABCD has angle C=70 degrees and D=50 degrees. Find the size of angle A and angle B
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Angle A = 130° and Angle B = 110°

Solution:

Given ABCD is a trapezoid with ∠C = 70° and ∠D = 50°

If ABCD is a trapezoid, then AB is parallel to CD.

AD is a transversal to AB and CD and

BC is a tranversal to AB ad CD.

Sum of the interior angles on the same side are supplementary.

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⇒ ∠B = 180° – 70°

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Hence, angle A = 130° and angle B = 110°.

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3 years ago
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