1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ne4ueva [31]
4 years ago
15

The points A(0, 0), B(0, 4a - 5) and C(2a + 1, 2a + 6) form a triangle. If angle ABC = 90, what is the area of triangle ABC?(A)

102(B) 120(C) 132(D) 144(E) 156

Mathematics
1 answer:
ZanzabumX [31]4 years ago
8 0

Answer:

A:102

Step-by-step explanation:

We are given that the points A(0,0),B(0,4a-5) and C(2a-+1,2a+6) form a triangle.

If angle ABC=90^{\circ}

We have to find the area of triangle ABC

If angle ABC= 90 degree

From given below figure

4a-5=2a+6

4a-2a=6+5

2a=11

a=\frac{11}{2}=5.5

Substitute the values then we get

B(0,17) and C (12,17)

Distance formula

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

AB=\sqrt{(0-0)^2+(17-0)^2}=17 units

BC=\sqrt{(12-0)^2+(17-17)^2}

BC=\sqrt{144+0}=\sqrt{144}=12 units

Area of triangle =\frac{1}{2}\times b\times h

Substitute the values

Then we get

Area of triangle ABC=\frac{1}{2}\times 17\times 12

Area of triangle ABC=102 square units

Answer: A: 102

You might be interested in
Solve the following simultaneous linear equations by the substitution method.
anyanavicka [17]

Answer:

p = 2 and q = 2

Step-by-step explanation:

hope this helps please like and mark as brainliest

5 0
3 years ago
What fracción is 20% of 40
lions [1.4K]
20 percent of 40 is 8. As a fraction that would be 8/1.

Hope this helps
6 0
3 years ago
SOMEONE HELP ON NUMBER 1
vredina [299]

Answer:

It is most definitely D, The volume of a cone is one-third of the volume of a cylinder.

8 0
3 years ago
Moon Sporting Goods received a shipment of tennis rackets and marked them up 45%. The cost of the tennis rackets to Moon was $85
Komok [63]

Answer:

$123.25

Step-by-step explanation:

A selling price reflecting a 45% markup can be found by multiplying the wholesale price ($85) by (1 + 0.45), or  1.45:

1.45($85) = $123.25

4 0
3 years ago
Can someone help 10 points
ser-zykov [4K]

Answer:

The volume of this rectangular prism is 72 cubic units. We multiply 6*4*3 to get 72.

7 0
3 years ago
Other questions:
  • Given the function f(x) = 4(x+3) − 5, solve for the inverse function when x = 3. (1 point)
    11·2 answers
  • How do I find the domain and range of the function and how can I tell if it's discreet or continous?
    12·1 answer
  • Convertir 0.16 en fracción
    7·1 answer
  • Which represents the solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)? ​
    6·2 answers
  • The function f(x) = x2. The graph of g(x) is f(x) translated to the left 6 units and down 5 units. What is the function rule for
    14·1 answer
  • Find the measure of each indicated exterior angle
    15·1 answer
  • Can somebody help me with this problem whoever helps me first gets a thanks ❤️
    10·2 answers
  • I need help on this (-4)²<br> help me
    13·1 answer
  • What is -3x + 3y = 6 in slope form
    6·2 answers
  • Need help on number five first person to answer gets Brainly
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!