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irga5000 [103]
3 years ago
7

What is area of this

Mathematics
1 answer:
nata0808 [166]3 years ago
3 0

Answer:

A = 20.5 sq units

Step-by-step explanation:

you have the height of 5 but need to figure out the base

we can use the Pythagorean Theorem two times to find it

1) a² + 5² = 7²

a² = 49-25

a = \sqrt{24} = \sqrt{4}·\sqrt{6} = 2\sqrt{6}

2) b² + 5² = 6²

b² = 36-25

b = \sqrt{11}

Base = 2\sqrt{6} + \sqrt{11}

A = 1/2 x 5· (2\sqrt{6} + \sqrt{11})

A = 2.5 · (2\sqrt{6} + \sqrt{11})

A = 2.5(8.2)

A = 20.5

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Answer:

Step-by-step explanation:

From the figure attached,

If the figures shown are congruent (Equal in shape and size), length of all the sides must be equal.

Therefore, sides sides CD and GH must be equal in measures.

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d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Length of the side CD having ends C(-4, 4) and D(0, 5) will be,

CD = \sqrt{(-4-0)^2+(4-5)^2}

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Therefore, m(CD) = m(GH)

Similarly, we can prove all corresponding sides of two figures equal in measure.

This shows ABCD ≅ EFGH.

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3 years ago
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3 years ago
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