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Norma-Jean [14]
3 years ago
5

Please help me I’m struggling :’(

Mathematics
1 answer:
Vesna [10]3 years ago
5 0

Answer:

B. x = \sqrt{40}

Step-by-step explanation:

Using Pythagorean theorem, find the value of x.

Pythagorean theorem is given as c^2 = a^2 + b^2

Where,

c is the longest side of a right angled ∆ = the hypotenuse = x

a and b are legs of the right angled ∆ = 2 and 6

Plug in the values into the equation and solve for x

x^2 = 2^2 + 6^2

x^2 = 4 + 36

x^2 = 40

x = \sqrt{40}

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3 years ago
Which dimensions cannot create a triangle?
podryga [215]

Answer:

three angles measuring 109º, 25º, and 145º cannot create a triangle

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Step-by-step explanation:

<u><em>Verify each dimensions</em></u>

Part 1) three angles measuring 109º, 25º, and 145º

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

In this problem we have

109^o+25^o+145^o=279^o

279^o> 180^o

therefore

three angles measuring 109º, 25º, and 145º cannot create a triangle

Part 2) three sides measuring 9 m, 15 m, and 9 m

we know that

The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the triangle inequality theorem

1) 9+15 > 9 ---> is ok

2) 9+9 > 15 ---> is ok

therefore

three sides measuring 9 m, 15 m, and 9 m can create a triangle

Part 3) three angles measuring 40º, 70º, and 65º

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

In this problem we have

40^o+70^o+65^o=175^o

175^o< 180^o

therefore

three angles measuring 40º, 70º, and 65º cannot create a triangle

Part 4) three sides measuring 6 cm, 8 cm, and 10 cm

we know that

The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the triangle inequality theorem

1) 6+8 > 10 ---> is ok

2) 8+10 > 6 ---> is ok

3) 6+10 > 8 ---> is ok

therefore

three sides measuring 6 cm, 8 cm, and 10 cm can create a triangle

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3 years ago
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