The angle bisector theorem states that the bisector divides the opposite side of triangle into 2 segments that are equal to the triangle's other 2 sides. so the answer is C.
Answer:
a) 8cm
b) 19.8cm
Step-by-step explanation:
The key to these types of questions is to keep proportions in mind.
To solve the first question, you want to find the proportion of the smaller triangle to the bigger triangle. The length of AE is 6cm, but the length of AD is (6+4) = 10cm. So the proportion of the bigger triangle to the smaller triangle is 10/6. So to find the lengths of the sides of the bigger triangle, we want to keep this number in mind.
The BE side is parallel to CD, so we have to use length of BE multiplied by the proportion in order to get the length of CD.
CD = 4.8 * (10/6) = 8
CD = 8cm
For the second question, you use the same concept to find all the other side lengths. The only one you need left for the shape EBCD is side BC. Do the same thing you did before, take the length of the side of the smaller triangle that corresponds with side AC on the bigger triangle. In this case, it's AB, which is 4.5cm. Multiply this by 10/6 to get AC.
AC = 4.5 * (10/6) = 7.5
AC = 7.5
But we're not done. We just found the length of AC, but we need the length of BC to calculate the perimeter. To do this, we want to take the length of AC - the length of AB.
7.5 - 4.5 = 3
So the length of BC is 3cm. Now, to find the perimeter, just add all the sides of EBCD together.
4.8 + 4 + 8 + 3 = 19.8cm.
Hope this helps.
The answer is 5/9.
(P.S. I got the step by step solution from a Socratic Question and Answer website)
<span>The relationship between these terms may be sums ordifference. Here are some polynomials: You call an expression with a single term a monomial, an expression with two terms is a binomial, and an expression with three terms is a trinomial. ... For example a polynomial with five terms is called a five-term polynomial.
</span>by combining like terms the difference of the polynomials will be C.) m^2n^2-mn-11
Answer: B, C, and E
Step-by-step explanation:
B and C are the same thing. And E will also work.
A will get you in the right quadrant, but the shape is wrong.
D will just get you back into the place you origianlly started at.
