Answer:
The perimeter of the triangle ABC is 17 cm.
Step-by-step explanation:
Consider the Isosceles triangle ABC.
The sides CA and CB are equal with measures, 5 cm.
The base angles are assumed to be <em>x</em>° each. Hence, the angle ACB is 2<em>x</em>°.
The altitude CP divides the base AB into two equal halves and the angle ACB is also cut into halves.
Consider the right angled triangle ACP.
The sum of all the angles in a triangle is 180°.
Determine the value of <em>x</em> as follows:
<em>x</em>° + <em>x</em>° + 90° = 180°
2<em>x</em>° = 90°
<em>x</em>° = 45°
Compute the length of side AP as follows:
Then the length of side AB is:
AB = AP + PB
= 3.5 + 3.5
= 7 cm
The perimeter of triangle ABC is:
Perimeter = AB + CA + CB
= 7 + 5 + 5
= 17
Thus, the perimeter of the triangle ABC is 17 cm.
20,000,000+400,000+80,000+4000+100+60+3
12%... (3×4)/(25×4) = 12/100... 12/100 = .12 which is 12%
Answer:
B
C
F
D
H
A
G
E
Step-by-step explanation:
Ok. They are trying to reconstruct the smaller looking triangle in the bigger triangle using angle A as the common angle.
The first statement is always the given.
Second they constructed line segment XY into the bigger triangle so that XY is parallel to BC.
Third, from the construction of the parallel lines we can now find corresponding angles that are congruent. This would be the use of F.
Since we have all three angles in triangle AXY and triangle ABC, then the construction of the smaller triangle we made inside the bigger triangle is similar to the bigger triangle. So we have the triangles are similar. You could say E or D here in my opinion. This is choice D.
Fifth the creation of those fractions of sides being equal comes from us knowing the corresponding sides of similar triangles are proportional. This is choice H.
Things looked cut off for the sixth thing so I can't fully read it, but it is possible a substitution has occured.
The seventh thing is a congruence statement which can be proven by a congruence postulate. The only one listed is SAS. So that is G.
The last thing, since the triangle construction is congruent to the smaller triangle then we know the smaller triangle is also similar to the bigger triangle since the bigger one is also similar to the construction we made. I really think E and D is interchangeable. Choice E goes here.
