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3 years ago

What is the area of the right triangle shownbelow?178

Mathematics

1 answer:

kirill [66]3 years ago

4 0

Answer:

Step-by-step explanation:

17 x 8= 136

136 divided by 2 =68

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Choose the option that best answers the question.The points A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6) form a triangle. If Angl

Sunny_sXe [5.5K]

Answer:

The correct option is 1.

Step-by-step explanation:

Given information: The coordinates of a right angled triangle ABC are A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6). Angle ABC = 90°.

It means AB and BC are legs of the right angled triangle ABC.

Side AB lies on the y-axis because the x-coordinate of both A and B is 0.

Two legs are perpendicular to each other. So, BC must be parallel to x-axis and the y-coordinate of both B and C is must be same.

$4a-5=2a+6$

$4a-2a=5+6$

$2a=11$

Divide both sides by 2.

$a=\frac{11}{2}$

The value of a is 2. So the coordinates of triangle ABC are

$B(0,4a-5)=B(0,4(\frac{11}{2})-5)\Rightarrow B(0,17)$

$C(2a+1,2a+6)=C(2(\frac{11}{2})+1,2(\frac{11}{2})+6)\Rightarrow C(12,17)$

The area of a triangle is

$Area=\frac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|$

The area of triangle ABC is

$Area=\frac{1}{2}|0(17-17)+0(17-0)+12(0-17)|$

$Area=\frac{1}{2}|12(-17)|$

$Area=\frac{1}{2}|-204|$

$Area=\frac{1}{2}(204)$

$Area=102$

The area of triangle ABC is 102. Therefore the correct option is 1.

6 0

3 years ago

I'll give brainliest!! Also 40 points!

ki77a [65]

Well, if you have a word problem for example:

Maria has 24 backpacks and 12 textbooks. She needs to fit all the books in the backpacks evenly. How will she do that?

So you could do 24 ÷ 12 = 2 textbooks per backpack OR

Add 12 together until you get to 24, 12 + 12 = 24

So all you need to do is show your work and how you solved both solutions to any type of problem. (Hope this was helpful!)

5 0

3 years ago

Help pleaseeeee thank you

Mkey [24]

OPTION A is the correct answer.

hope it helps you...

4 0

3 years ago

A washing machine has a price of $900. With sales tax, it will cost $909. What is the sales tax percentage?

Natalija [7]

1% sales tax.
900 x 0.01 = 909
I Hope this helps

3 0

3 years ago

Solve for y <br> 2(y+3)=18

jeka57 [31]

Y= 6// 2(6+3)=18 because 6+ 3= 9 and 9x 2 = 18

3 0

3 years ago

What is the area of the right triangle shownbelow?178​

What is the area of the right triangle shownbelow?178