In Triangle ABC, AC = BC and mC = 62°. The longest side of the triangle is:

Mathematics

2 answers:

den301095 [7]3 years ago

7 0

Im pretty sure by process of elimination the longest side would be BC.

aev [14]3 years ago

6 0

Answer:

The longest side of the given triangle ABC is AB.

Step-by-step explanation:

Given: In Triangle ABC, AC = BC and ∠C = 62°

To find: The longest side of the triangle ABC.

Solution: It is given that In Triangle ABC, AC = BC and ∠C = 62°,

Now, If AC=BC, then the triangle will be an isosceles triangle. Then whether AB going to be longer or shorter than AC.

If ∠C had been 60°, then it would be an equilateral triangle and all sides would have been equal. But, since ∠C > 60, the side opposite C must be the greatest.

A smaller angle would mean that AB is shorter than AC.

In this case the angle given is greater than 60 degrees, therefore AB must be longer then AC.

Hence, the longest side of the given triangle ABC is AB.

You might be interested in

EASY MATH ILL GIVE BRIANLIST PLEASE HELP, IT HAS TO BE CORRECT

Ipatiy [6.2K]

Here is the answer and steps. Answer:-3/5

3 0

2 years ago

Read 2 more answers

What is the equation of the line that is parallel to the line x = -2 and passes through the point (5.4)?

Leno4ka [110]

Lines parallel to each others only occur when two slopes of equations are same. The definition of parallel lines is:

$\large \boxed{m_1 = m_2}$

We are given the equation of a line which is x = -2. For x = a, the equation forms a verical line and has an undefined slope. These below are basic that you may need to learn when learning about the line graph:

y = a —> horizontal line; slope is 0.
x = a —> vertical line; slope is undefined.
For y = a, any a-values would have same x-values. For example, if we are given y = 2 then any domains or x-values can have the range of 2.
For x = a, any a-values would have same y-values or range.

Back to the question. We want to find the equation of a line that is parallel to the line x = -2 and passes through (5,4) point. Recall the definition of parallel line that both slopes of equations must equal. Since x = a for any a-values would give an undefined slope. That means our parallel would be x = b.

Because the line passes through (5,4) - for any a-values from x = a would give out the set of all real numbers for range. Therefore the equation of a line is x = 5.

Answer