As isosceles triangle has two congruent sides with a third side
<span>that is the base. </span>
<span>A base angle of an isosceles triangle is one of the angles formed by </span>
<span>the base and another side. Base angles are equal because of the </span>
<span>definition of an isosceles triangle. </span>
<span>A picture would probably help here: </span>
<span>A </span>
<span>. </span>
<span>/ \ ABC = ACB = 39 degrees </span>
<span>/ BAC = ??</span>
<span>._______________. </span>
<span>B C </span>
<span>base </span>
<span>ABC is the isosceles triangle. AB is congruent to AC. Angle ABC </span>
<span>is congruent to angle ACB. These are the base angles. </span>
<span>Triangle is a convex polygon with three segments joining three non-collinear points. Each of the three segments is called a side, and each of the three non-collinear points is called a vertex. </span>
<span>Triangles can be categorized by the number of congruent sides they have. For instance, a triangle with no congruent sides is a scalene triangle; a triangle with two congruent sides is an isosceles triangle; a triangle with three congruent sides is an equilateral triangle. </span>
<span>Triangles can also be categorized by their angles. For instance, a triangle with three acute interior angles is an acute triangle; a triangle with one obtuse interior angle is an obtuse triangle; a triangle with one right interior angle is a right triangle; a triangle with three congruent interior angles is an equiangular triangle. </span>
<span>One property of a triangle is that the sum of the measures of the three interior angles is always 180 degrees (or pi radians). In addition, the exterior angle of a triangle is the supplement of the adjacent interior angle. The measure of the exterior angle is also the sum of the measures of the two remote interior angles.</span>
Answer:
3(x+y+3)
Step-by-step explanation:
The Pythagorean Theorem is a^2 + b^2 = c^2 where a and b are the sides and c is the hypotenuse.
From the picture you have a = 10 and c = 15.
Now you have:
10^2 + b^2 = 15^2
Simplify:
100 + b^2 = 225
Subtract 100 from both sides:
b^2 = 125
Take the square root of both sides:
b = √125
b = 11.2
Answer:
6 + 3
+ 2
+ 
Step-by-step explanation:
Using the rule of radicals
× 
⇔ 
Given
(3 + )(2 + )
Each term in the second factor is multiplied by each term in the first factor, that is
3(2 + ) + (2 + ) ← distribute both parenthesis
= 6 + 3 + 2 +
This problem is an example of an arithmetic series.
The common difference of the second term (15) with the first term (9) and the third term (21) with the second term (15) [15-9=6; 21-15=6] is 6.
The formula for solving this is:
An= A1 +(n-1)*d where An is the nth term, A1 is the first term, n is the number of terms and d is the common difference.
An=9+ (31-1)*6 = 189
The answer is 189.
