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Yuliya22 [10]
2 years ago
11

An angle bisector of a triangle divides the opposite side of the triangle into segments2 cm and 5cm long. The second side of the

triangle is 7.5 cm long. Find all possible lengths for the third side of the triangle.
Mathematics
1 answer:
RSB [31]2 years ago
3 0

Answer:

  • 3 cm or 18.75 cm

Step-by-step explanation:

Let the third side is x.

<u>According to Triangle-angle-bisector theorem, we have the possible ratios:</u>

  • x/7.5 = 2/5

or

  • x / 7.5 = 5/2

<u>Solve for x in each case:</u>

1)

  • x = 7.5*2/5 = 3 cm

2)

  • x = 7.5*5/2 = 18.75 cm
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Help
ycow [4]

Answer:

A. 15.5 yards

Step-by-step explanation:

3.1 ×5=15.5

7 0
2 years ago
What is the ratio of the length of one midsegment of an equilateral triangle to the sum of two of its side lengths?
mars1129 [50]

Given:

One midsegment of an equilateral triangle.

To find:

The ratio of the length of one midsegment of an equilateral triangle to the sum of two of its side lengths.

Solution:

All sides of an equilateral triangle are same.

Let a be the each side of the equilateral triangle.

Length of the midsegment is equal to the half of the non included side or third side.

Midsegment=\dfrac{a}{2}

The sum of two side is

a+a=2a

Now, the ratio of the length of one midsegment of an equilateral triangle to the sum of two of its side lengths is

\text{Required ratio}=\dfrac{\text{Length of midsegment}}{\text{sum of two sides}}

\text{Required ratio}=\dfrac{\dfrac{a}{2}}{2a}

\text{Required ratio}=\dfrac{a}{4a}

\text{Required ratio}=\dfrac{1}{4}

\text{Required ratio}=1:4

Therefore, the ratio of the length of one midsegment of an equilateral triangle to the sum of two of its side lengths is 1:4.

3 0
3 years ago
Which expression is equivalent to 16a−18b+20a
Alja [10]

Answer:

(16a+20a)-18b

=36a-18b

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Mr. Hudkins wants his 6th grade math class to memorize their multiplication facts. He decides to increase the number of facts th
Maksim231197 [3]

Answer: m = 15w

Step-by-step explanation: The reason why the answer is m = 15w is because since he said "He decides to increase the number of facts they are expected to memorize each week." Which makes it so that only the  multiplication fact increased to 15 since they wouldn't put it lower then that. And there is a 2nd reason why the multiplication fact is 15. the reason why is because theres only one answer with 30 and its completely wrong. So therefore,, The answer is Multiplication Fact = 15weeks.

8 0
3 years ago
Read 2 more answers
Solve for the area:<br><br><br><br> 32 cm^2<br> 16 cm<br> 32 cm<br> 16 cm^2
MA_775_DIABLO [31]
<h3>Given : </h3>

  • Base of triangle = 8 cm
  • Height of triangle = 4 cm

\\

<h3>To Find : </h3>

  • Area of triangle = ?

\\

<h3>Solution :</h3>

As, we have :

  • Base of triangle, b = 8 cm
  • Height of triangle, h = 4 cm

\\

So, to find area of triangle we have a formula :

\large \underline{\boxed{\bf{Area_{(triangle)} = \dfrac{1}{2} \times b \times h}}}

\tt : \implies Area = \dfrac{1}{2} \times 8 \: cm \times 4 \: cm

\tt : \implies Area = \dfrac{1}{2} \times 32 \: cm^2

\tt : \implies Area = \cancel{\dfrac{32}{2}} \: cm^2

\tt : \implies Area = 16 \: cm^2

\\

Hence, area of given triangle is 16 cm².

5 0
3 years ago
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