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Stella [2.4K]
2 years ago
7

Please please help me with this

Mathematics
2 answers:
ololo11 [35]2 years ago
8 0

Answer:

x = 5 units

Step-by-step explanation:

Use the Pythagorean Theorem:

a^2 +  b^2 = c^2

Set Values for Variables:

Side Length - a = 12

Side Length - b = x

Hypotenuse - c = 13

<em>* Hypotenuse is always opposite from the right angle.</em>

Solve:

12^2 + b^2 = 13^2

144 + b^2 = 169  

<em>(Subtract 144 from both sides to get 25)</em>

b^2 = 25

<em>(Find square root of 25 and b^2)</em>

b = 5

Conclude:

Now you know x (otherwise known as the b-value), is equal to 5 units.

BartSMP [9]2 years ago
5 0

Answer:

x = 5

Step-by-step explanation:

Just use the Pythagorean Triangle:

13^2 - 12^2 = x^2

x^2 = 25

x = 5

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Since the big triangle is an isosceles one, we conclude that the angles of the left triangle are: 32, 90 and 3x-10. Sinche the sum of this angles have to be 180° we have:

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Solving for x, we have:

\begin{gathered} (3x-10)+32+90=180 \\ 3x-10+32+90=180 \\ 3x=180+10-90-32 \\ 3x=68 \\ x=\frac{68}{3} \\ x=22.67 \end{gathered}

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