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3 years ago

Which of the following are valid names for the given triangle? Check all that apply.

Mathematics

2 answers:

Georgia [21]3 years ago

7 0

Answer:

A, D and E are correct options.

Step-by-step explanation:

We are given,

The vertices of the triangle are A, X and T.

While writing the names of a triangle, only the vertices are used.

So, we have that the possible names of the given triangle are,

ΔTAX ΔATX ΔXAT

ΔTXA ΔAXT ΔXTA

Then, according to the options, the valid names for the triangle are,

A. ΔTAX

D. ΔXTA

E. ΔAXT

vfiekz [6]3 years ago

6 0

When naming triangles we name them by the letters on each corner so only answers with T, A, and X in them are correct, so TAX, XTA, and AXT

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Answer:

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Step by step explanation:

$\text{Given that,}\\\\~~~~~~\sin A = \dfrac 38 \\\\\implies \sin^2 A = \dfrac 9{64}\\\\\implies 1 - \cos^2 A = \dfrac{9}{64}\\\\\implies \cos ^2 A = 1 - \dfrac 9{64}\\\\\implies \cos^2 A = \dfrac{55}{64}\\\\\implies \cos A =\pm\sqrt{\dfrac{55}{64}}\\ \\\implies \cos A = \pm\dfrac{\sqrt{55}}8\\\\$

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