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EGiven ADEF, which is not equal to cos(F)?5O sin(F).O sin(D).O tan(F).O cos(D).DF52

EGiven ADEF, which is not equal to cos(F)?5O sin(F).O sin(D).O tan(F).O cos(D).DF-example-1
User Radhoo
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1 Answer

5 votes

Given the following sides of the triangle:

a = 5, b = 5, c = 5 √2

Let's find the cos of angle F:


\cos ^(-1)(a^2+b^2-c^2)(2ab)/(\square)
\cos ^(-1)(5^2\text{ +( 5}√(2))^2\text{ - }5^2)(\square)/(\square)2\cdot\text{ 5 }\cdot\text{ 5}√(2)
F\text{ }\approx\text{ 45}\circ\text{ }\Rightarrow\text{ cos 45 = (}√((2))(2)/(\square)

The correct option is D. Cos (D) because the sides a and b are equal and this is an isosceles triangle

In addition, angles D and F are equal (45 degrees)

User Ibelka
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