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
eimsori [14]
3 years ago
13

The shorter leg of a right triangle is 7cm shorter than the longer leg. The hypotenuse is 7cm longer then the linger leg. What i

s the length of the sides of the triangle
Mathematics
1 answer:
Gelneren [198K]3 years ago
5 0

The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.

Step-by-step explanation:

Let,

The longer leg = x

The shorter leg = x-7

Hypotenuse = x+7

Using Pythagoras theorem;

a^2+b^2=c^2\\(x-7)^2+(x)^2=(x+7)^2\\x^2-14x+49+x^2=x^2+14x+49\\2x^2-14x+49-x^2-14x-49=0\\x^2-28x=0\\x(x-28)=0\\

Either,

x= 0

Or,

x-28=0      =>x=28

As length cannot be zero, therefore,

Longer side = 28cm

Shorter side = x-7 = 28-7 = 21cm

Hypotenuse = x+7 = 28+7 = 35cm

The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.

Keywords: triangle, pythagoras theorem

Learn more about triangles at:

  • brainly.com/question/9323337
  • brainly.com/question/9381080

#LearnwithBrainly

You might be interested in
Which of the following statements describes the process for solving 4x ≥ -24?
arsen [322]

Answer:

C. Divide both sides of the inequality by 4 but don't flip the symbol.

Step-by-step explanation:

When you solve an inequality, you have to get the x by itself. So, in this inequality, the first thing you would do is divide both sides of the inequality by 4. The new and solved equation would look like this:

x ≥ -6

Because multiplying by a negative, dividing by a negative, or having negatives on both sides of the inequality was not involved in solving for x, flipping the symbol is not needed.

I really hope this helps! Have an amazing day :3

5 0
3 years ago
a set of measuring cups has measures of 1 cup, 3/4 cup, 1/2 cup, 1/3 cup, and 1/4 cup. How could I measure 1/6 of a cup using th
Sophie [7]

1/2 cup = 3/6 cup

1/3 cup =2/6 cup

Just dump a much from the 1/2 cup into the 1/3 cup.

The 1/2 cup will have 1/6 left.

7 0
3 years ago
What would be the best way to solve an inequality the quickest. For example 6x is less than 21.​
love history [14]
  1. vertical way like ?? ??????????????????????
3 0
3 years ago
Solve for x and y simultaneously <br><br>Pls help me​
LenKa [72]

Step-by-step explanation:

Are the roots equal or unequal

3 0
2 years ago
There is a population of three bacteria in the colony if the number of bacteria doubles every 48 minutes what will the populatio
Mashutka [201]
The population of the bacteria 96 minutes from now is 12.
7 0
2 years ago
Other questions:
  • Use the properties of geometric series to find the sum of the series. for what values of the variable does the series converge t
    13·1 answer
  • F(x) = x2 + 3x + 2 is shifted 2 units left, the result is g(x). What is g(x)?
    7·1 answer
  • PLEASE HELP, 25 POINTS!!!!!
    10·1 answer
  • The graph of a line passes through the two points (-2, 1) and (2, 1). What is the equation of the line written in general form?
    9·1 answer
  • Eight more than five times a number is negative 62.
    13·1 answer
  • A study at a major university concluded that many students are cheating. The circle graph depicts the percentages of students wh
    9·1 answer
  • Which inequality is not true if Y equals -5?
    7·1 answer
  • Pls help ill give brainly
    15·2 answers
  • The radius of a cylindrical water tank is 5.5 ft, and its height is 12What is the volume of the tank?
    14·1 answer
  • The distance of a golf ball from the hole can be represented by the right side of a parabola with vertex (−1, 8). The ball reach
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!