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
ELEN [110]
3 years ago
8

a triangular land having area 36m²and perimeter 84 m has length of the edge 26m. Calculate the measure of remaining two sides​

Mathematics
1 answer:
faust18 [17]3 years ago
3 0

Complete question :

a triangular land having area 36m²and perimeter 84 m has length of the edge 26m. Calculate the measure of remaining two sides​

Answer:

28cm, 30 cm

Step-by-step explanation:

Area = 336 m³ ; lebgth of edge = 26

Perineter, p = 84

Perimeter of triangle :

a + b + c

Length of other two sides = 84 - 26 = 58

If length of one of the sides = x

Lenvyb if the other = 58 - x

From Hero's formular :

Sqrt(s(s-a)(s-b)(s-c).

s = perimeter /2 = 84/2 = 42

Sqrt(42(42 - 26)(42 - x)(42 - (58-x))

sqrt(42(16)(42-x)(42-58+x) = 336

sqrt(42(16)(42-x)(-16+x) = 336

672(42-x)(x - 16) = 112896

(42 - x)(x - 16) = 168

42x - 672 - x² + 16x = 168

-x² + 58x - 840 = 0

Using the quadratic equation solver, the roots are :

28, 30

Hence.the other tow sides are 28 cm and 30 cm

You might be interested in
What is the solution to the equation?
stiv31 [10]

Answer:

x = - 71

Step-by-step explanation:

x - 12 = - 83

+12          +12  (adding 12 to both sides)

x = - 71

7 0
3 years ago
Which of the following numbers is a factor of 78?
Aloiza [94]

Step-by-step explanation:

78 = 2 * 39 = 2 * 3 * 13.

Since 6 = 2 * 3 and its factors can be found in 78,

Hence the answer is 6. (C)

4 0
3 years ago
Mr. Green washed
olga_2 [115]

Answer:

What was the original number??

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
1 point
SashulF [63]

Answer:

The length of the slide is 10 feet.

Step-by-step explanation:

To find the length of the slide you have to use the formula:

a^2 + b^2 = c^2 (^2 means squared)

In this case:

a= 6 and b=8 c= unknown

6 squared (6 times 6) is 36

8 squared (8 times 8) is 64

Add these two numbers to get:

36+64=100

6^2+8^2=100

However, the length of the slide in not 100 feet. In order to find the correct length you must find the square root of 100. Which is 10.

What number times itself equals 100? 10.

The length of the slide in 10 feet.

5 0
3 years ago
Given that sine of theta = 21/29, what is the value of cosine of theta, for 0° < theta < 90°?
fenix001 [56]

If the value of θ is 46.4°. Then the value of the cosine of θ will be 20/29.

<h3>What is trigonometry?</h3>

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The value of sine of θ is 21/29.

Then the value of θ will be

sin θ = 21/29

     θ = sin⁻¹(21 / 29)

     θ = 46.4°

Then the value of the cosine of θ will be

cos θ = cos 46.4°

cos θ = 20/29

More about the trigonometry link is given below.

brainly.com/question/22698523

#SPJ1

7 0
2 years ago
Other questions:
  • Please helpp pleaseee​
    9·1 answer
  • How do you solve a SSA triangle?
    6·1 answer
  • What is the difference between the percentage of latecomers who blamed traffic congestion and the percentage of latecomers who a
    10·1 answer
  • A) 78°<br> C) 101°<br> B) 113°<br> D) 75°
    14·1 answer
  • 10. What is the value of x in this equation?
    8·1 answer
  • 9. How many gallons of paint will you need to buy if you are painting a room that is 30 ft by
    6·1 answer
  • Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the inter
    7·1 answer
  • How many solutions are there to the system of equations shown in the graph?
    7·1 answer
  • Find the area of the composite figure:
    8·2 answers
  • I really need help it’s slope and I’m very confused
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!