3 years ago

OMG PLS— THIS IS DUE AT 8PM—

Mathematics

1 answer:

andrew11 [14]3 years ago

5 0

Answer:

so good

Step-by-step explanation:

so good

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A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, don’

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Answer:

The height of rectangle is 5 inches

Step-by-step explanation:

<u><em>The correct question is</em></u>

A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, Find the height

Let

x -----> the width of the rectangle in inches

y ----> the height of the rectangle in inches

d ---> diagonal measurement of the rectangle in inches

we know that

Applying the Pythagorean Theorem

$d^2=x^{2}+y^{2}$

we have

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$13^2=x^{2}+y^{2}$

$169=x^{2}+y^{2}$ ----> equation A

$x=y+7$ ---> equation B

substitute equation B in equation A

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solve for y

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$2y^2+14y+49-169=0$

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solve the quadratic equation by graphing

using a graphing tool

The solution is y=5

see the attached figure

therefore

The height of rectangle is 5 inches

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Answer:

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Step-by-step explanation:

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