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
bagirrra123 [75]
3 years ago
7

The longer leg of a right triangle is 4 more than the short leg. The hypotenuse is eight less than the sum of the 2 legs.

Mathematics
1 answer:
Crazy boy [7]3 years ago
6 0

Answer:

SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.

The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4

The hypotenuse is 8inches longer than the shorter leg:  c = a + 8

 

Use the Pythagorean Theorem:

 

a2 + b2 = c2

a2 + (a+4)2 = (a+8)2

a2 + a2 + 8a + 16 = a2 + 16a + 64

a2 - 8a - 48 = 0

 

Factors to:

 

(a-12)(a+4) = 0

a = 12, -4

 

Since we can't have a side of -4, a = 12

Shorter Leg = 12 inches

Longer Leg = 12 + 4 = 16 inches

Hypotenuse = 12 + 8 = 20 inches

You might be interested in
Help me pls answer this​
Rudik [331]

Answer:

right

Step-by-step explanation:

32/8=4

(m^5)(m^-3)=m^2

4 0
3 years ago
A circle with a diameter of 10 has its center in the first quadrant. The lines y = -3 and x = -1 are tangent to the circle. Writ
yuradex [85]

Answer:

34

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Need help with me math
zvonat [6]

Answer: si no si no si no

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
In the word "MISSISSIPPI", what is the ratio of the letter p's to letter I's
elixir [45]

Answer:

2:4 or 1/2.Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A pail holds 5 1/2 gallons of water. How much is this in cups?
Bingel [31]
I believe it's 88 cups
8 0
3 years ago
Read 2 more answers
Other questions:
  • A delicatessen has 8 pounds of garlic-flavored sausage and 10 pounds of plain sausage. The deli wants to make as many pounds of
    6·1 answer
  • Whats the value of y <br> 2y + 15 = 4y - 45
    7·2 answers
  • Nick has four pieces of licorice that are 1 2/3 inches long each. What is the total length of licorice?
    13·1 answer
  • Perry surveyed 60 students at her school and found that 0.45 of the students she surveyed said their favorite class is math. Ano
    12·2 answers
  • Please give me the answer to number 2 you don’t need to explain it just give me the answer
    7·1 answer
  • Find the unit rate of buying a $36 shirt and getting another one for equal or lesser value for free
    9·1 answer
  • Tìm x,y thỏa mãn: x^2-2xy+3y-5x+7=0
    8·1 answer
  • Priya, Han, Lin, and Diego are all on a camping trip with their families. The first morning, Priya and Han make oatmeal for the
    9·1 answer
  • Lines a and b are perpendicular. Which statements below must be true? Select all that apply. The slopes of lines a and b are rec
    6·1 answer
  • For all values of x, f(x) = 2x-3 and g(x) = x^2 + 1 a) Find fg(x) Simplify and give your answer in the form ax^2 + b b) Find gf(
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!