Abc is an isosceles with ab=ac=6cm. if bc=7cm, find angle c.

54.314 °

Step-by-step explanation:

It is given that in triangle ABC, AB = AC = 6m. So, it is an isosceles triangle

Now, it is also given that BC = 7 cm.

We have to find the value of angle C.

If we draw a perpendicular on BC from point A, then it will bisect BC at D i.e. AD is a perpendicular bisector of BC.

Now, the triangle ADC is a right triangle in which, the base DC =7/2 =3.5 cm and hypotenuse AC = 6m (Given) and angle ADC= 90°.

Therefore, Cos∠C = DC/AC =3.5/6.

⇒ ∠C =Cos⁻¹ (3.5/6) =54.314 ° (Answer)

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!