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3 years ago

What is the length of the diagonal of the triangle?

Mathematics

1 answer:

Setler79 [48]3 years ago

7 0

Answer:

21.25

Step-by-step explanation:

use the Pythagorean theorem, it is given that the shape is a rectangle so all opposite sides are congruent and all angles are right, since we know that the diagonal forms a right triangle we can use the pythagorean theorem

the Pythagorean theorm is a^2+b^2=c^2 where a and b are the legs (in this case the side of the triangle) and c is the hypotenuse which is the longest side in a right triangle

17^2+12.75^2=x^2

x^2=7225/16

now take the square root of both sides and you get -21.25 and 21.25

distance CAN NOT be negative so -21.25 isn't an option

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3 years ago

Give the property that justifies each step.

hjlf

Answer:

Please check the explanation below.

Step-by-step explanation:

Some of the properties are defined as:

Distributive property

a(b+c) = ab+ac

For example,

suppose a=1, b=2, c=3

1(2+3) = 1(2) + 1(3)

5 = 2+3 = 5

Subtraction property of Equality

if (a=b), then a-c = b-c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a-c = b-c ⇒ 1-3 = 1 - 3 ⇒ -2 = -2

Addition property of Equality

if (a=b), then a+c = b+c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a+c = b+c ⇒ 1+3 = 1+3 ⇒ 4 = 4

Multiplicative property of Equality

if (a=b), then a×c = b×c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a×c = b×c ⇒ 1×3 = 1 × 3 ⇒ 3 = 3

Division property of Equality

if (a=b), then a÷c = b÷c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a÷c = b÷c ⇒ 1÷3 = 1 ÷ 3 ⇒ 1/3 = 1/3

Let's solve the given equation using the above properties.

5(x+10) = 20 Given

5x+50 = 20 1) Distriburive property ∵ a(b+c) = ab+ac

5x = -30 2) Subtraction property of Equality ∵ if (a=b), then a-c = b-c

x = -6 3) Division property of Equality ∵ if (a=b), then a÷c = b÷c

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2 years ago

If ABCD is a parallelogram, m

exis [7]

Answer:

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Step-by-step explanation:

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2 years ago

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devlian [24]

Answer:

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Step-by-step explanation:

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3 years ago