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Tcecarenko [31]
3 years ago
14

4. The diagonal of a rectangle is 13cm. The breadth is 5cm. Find it's length. *​

Mathematics
2 answers:
Citrus2011 [14]3 years ago
3 0

Answer:

The length of the rectangle is

12

c

m

and the area of the rectangle is

60

c

m

2

.

Explanation:

By definition, the angles of a rectangle are right. Therefore, drawing a diagonal creates two congruent right triangles. The diagonal of the rectangle is the hypotenuse of the right triangle. The sides of the rectangle are the legs of the right triangle. We can use the Pythagorean Theorem to find the unknown side of the right triangle, which is also the unknown length of the rectangle.

Recall that the Pythagorean Theorem states that the sun of the squares of the legs of a right triangle is equal to the square of the hypotenuse.

a

2

+

b

2

=

c

2

5

2

+

b

2

=

13

2

25

+

b

2

=

169

25

−

25

+

b

2

=

169

−

25

b

2

=

144

√

b

2

=

√

144

b

=

±

12

Since the length of the side is a measured distance, the negative root is not a reasonable result. So the length of the rectangle is

12

cm.

The area of a rectangle is given by multiplying the width by the length.

A

=

(

5

c

m

)

(

12

c

m

)

A

=

60

c

m

2

mrs_skeptik [129]3 years ago
3 0

Answer:

{5}^{2}  +  {x}^{2}  =  {13}^{2} \\ 25 +  {x}^{2}   = 169 \\  {x}^{2}  = 169 - 25 \\  {x}^{2}  = 144 \\ x =  \sqrt{144}  \\ x = 12cm

Step-by-step explanation:

use the Pythagorean theorem

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>you</em>

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Segment CD has point E located on it such that CE:ED = 3:5. If the endpoints are located at C(5, -6) and D(11,18) then what are
wlad13 [49]

Answer:

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Step-by-step explanation:

Given that,

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I don’t know how to do this question
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let x represent the number of apples and y represent the number of oranges.

TOTAL: x + y = 112  

                  y = 112 - x

PEELED: \frac{3}{8}x = \frac{1}{2}y

(8)\frac{3}{8}x = (8)\frac{1}{2}y

3x = 4y

3x = 4(112 - x)

3x = 448 - 4x

7x = 448

x = 64

y = 112 - x

  = 112 - 64

  = 48

a) There are 64 apples and 48 oranges

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Unpeeled apples: 64 - 24 = 40

Unpeeled - Peeled: 40 - 24 - 16

b) there are 16 more unpeeled apples than peeled apples

5 0
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