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
vovikov84 [41]
3 years ago
5

One leg of a right triangle is 7 inches longer than the smaller leg and the hypotenuse is 8 inches longer than the smaller leg.

Find the lengths ofl the side
of the triangle
Mathematics
1 answer:
Makovka662 [10]3 years ago
3 0
Smaller leg = x
longer leg = y
hypotenuse = z

y=x+7
z=x+8

due to
{z}^{2}  =  {x}^{2}  +  {y}^{2}  \\ (x + 8) ^{2}  =  {x}^{2}  + (x + 7) ^{2}  \\  {x}^{2}  + 16x + 64 =  {x}^{2}  +  {x}^{2}  + 14x + 49 \\  {x}^{2}  + 16x + 64 = 2 {x}^{2}  + 14x + 49 \\  {x}^{2}  - 2 {x}^{2}  + 16x - 14x + 64 - 49 = 0 \\  -  {x}^{2}  + 2x + 15 = 0 \\  {x}^{2}  - 2x - 15 = 0 \:  \: (multiplied \: by \:  - 1) \\ (x - 5)(x + 3) = 0 \\ then \:  \: x = 5 \:  \: or \:  \: x =  - 3
but x cannot be -3
so smaller leg is 5 inches

then longer leg = 5+7 = 12 inches
and hypotenuse = 5+8 = 13 inches
You might be interested in
Find the midpoint of the segment with the given endpoints.<br> (7,10) and (-1,-8)
lara31 [8.8K]

Answer:

Step-by-step explanation:

Hi guy I just wanted to say have a very good day and I hope you are alright today and I hope this helped out your day alright peace out

7 0
3 years ago
Point A is located at (2, 6), and D is located at (−4, 10). Find the coordinates of the point that lies halfway between A and D.
valina [46]

(( \frac{1}{2} (( - 4) - 2) + 2and( \frac{1}{2} (10 - 6)) + 6
the answer is(-1,8)
8 0
3 years ago
Read 2 more answers
Please help <br> A. 63<br> B. 72<br> C. 81<br> D. 108
Tom [10]

Answer:

<u>D.108</u> is correct.

Step-by-step explanation:

6*3 = 18

18*4 = 72

6*6 = 32

72 + 32 = 108

Have a nice day!

5 0
3 years ago
A string is 500 inches long.
SIZIF [17.4K]
Nicole 283 inches of sting left
4 0
3 years ago
the sum of two numbers is 133. four times the smaller of the two numbers equals three times the greater number. find the numbera
Evgesh-ka [11]
67

2x/2=132/2
x =66

x+1=
66+1=67
Therefore the smaller number is 66 and the greater 67.
8 0
2 years ago
Other questions:
  • The area of the rectangle is 24 inches. How much longer is its length than its width?
    13·1 answer
  • Which expressions are polynomials?
    5·1 answer
  • A high school is designing a new football field. The field is 125 meters long including the end zones. If 1 meter = 3.2 feet, ho
    11·2 answers
  • A baker makes peanut butter cookies and chocolate chip cookies.
    15·1 answer
  • Jack Frost was decorating the car windows in the teacher’s parking lot. He puts 2 snowflakes on each of the four windows of the
    12·1 answer
  • Someone pls help me I need help plsssss
    15·1 answer
  • What is the vertical change from Point A to Point B?
    13·2 answers
  • What is the surface area of the following figure?
    12·1 answer
  • In this unit, you’re working with a variety of methods for solving quadratic equations. Which method do you prefer over the othe
    15·1 answer
  • How many full cases and additional items are needed to fulfill the order? 50 8
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!