4 years ago

State if the triangles pair are similar

Mathematics

2 answers:

Aneli [31]4 years ago

5 0

Yes, they are, and X = 11

Julli [10]4 years ago

4 0

They are similar which means same shape but different size

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Explain the formula to use

Using the cosine rule which states that:

$z^2=x^2+y^2-2xy\cos Z$

STEP 2: Write the given sides

$x=4,y=6,Z=41^{\circ},z=?$

STEP 3: Find the value of z

$\begin{gathered} By\text{ substitution,} \\ z^2=4^2+6^2-2(4)(6)\cos41 \\ z^2=16+36-48cos41 \\ z^2=52-36.22605985 \\ z^2=15.77394015 \\ z=\sqrt{15.77394015} \\ z=3.971641997 \\ z\approx4.0 \end{gathered}$

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djverab [1.8K]

Answ

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Step-by-step explanation:

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