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
Nataliya [291]
3 years ago
6

PQR is a right-angled triangle. PQ = 16 cm. PR = 8 cm. Calculate the length of

Mathematics
1 answer:
vlada-n [284]3 years ago
8 0
SOLUTION:

PQR is a right-angle triangle.

Therefore, to solve this problem, we will use Pythagoras theorem which is only applicable to right-angle triangles.

Pythagoras theorem is as displayed below:

a^2 + b^2 = c^2

Where c = hypotenuse of right-angle triangle

Where a and b = other two sides of right-angle triangle

Now we will simply substitute the values from the problem into Pythagoras theorem in order to obtain the length of QR.

c = PQ = 16cm

a = PR = 8cm

b = QR = ?

a^2 + b^2 = c^2

( 8 )^2 + b^2 = ( 16 )^2

64 + b^2 = 256

b^2 = 256 - 64

b^2 = 192

b = square root of ( 192 )

b = 13.8564...

b = 13.86 ( to 2 decimal places )

FINAL ANSWER:

Therefore, the length of QR is 13.86 centimetres to 2 decimal places.

Hope this helps! :)
Have a lovely day! <3
You might be interested in
A pyramid with a square base of length 3cm and height 16cm
Oksana_A [137]
H = 16 cm
s = 16.0702 cm
a = 3 cm
e = 16.14 cm
r = 1.5 cm
V = 48 cm3
L = 96.421 cm2
B = 9 cm2
A = 105.421 cm<span>2

The volume of a square pyramid:V = (1/3)a2hSlant Height of a square pyramid:By the Pythagorean theorem, we know thats2 = r2 + h2since r = a/2s2 = (1/4)a2 + h2, ands = √(h2 + (1/4)a2)This is also the height of a triangle sideLateral Surface Area of a square pyramid (4 isosceles triangles):For the isosceles triangle Area = (1/2)Base x Height. Our base is side length a, and for this calculation our height for the triangle is slant height s.  With four
 sides we need to multiply by 4.L = 4 x (1/2)as = 2as = 2a√(h2 + (1/4)a2)Squaring the 2 to get it back inside the radical,L = a√(a2 + 4h2)Base Surface Area of a square pyramid (square):B = a2Total Surface Area of a square pyramid:A = L + B = a2 + a√(a2 + 4h2))A = a(a + √(a2 + 4h2))</span>
6 0
3 years ago
Forty more than the product of 2 and a number is twelve. What is the number?
posledela

Answer:

Logically, the answer is either 12 or 42

3 0
3 years ago
Find the number described. What number is 16​% of 70​?
photoshop1234 [79]

Answer:

58.8

Step-by-step explanation:

multiply 16% by 70 then substract your answer by 70

4 0
2 years ago
Read 2 more answers
Use completing the square to solve for x in the equation (x+7)(x-9) = 25.
balandron [24]

Answer:

x = 1  ±√89

Step-by-step explanation:

We have the equation:

(x+7)(x-9) = 25

Using distributive property:

x(x-9) + 7(x-9) = 25

x²- 9x + 7x - 63 -25 = 0

x²- 2x - 88 = 0

To complete squares we need to add and subtract 1, as follows:

x²- 2x - 88 +1 -1 = 0

x²- 2x +1 -88 -1 = 0    (this is a perfect square)

(x - 1)² - 89 = 0

Solving for x:

(x - 1)² = 89

x - 1 = ±√89

x = 1  ±√89

6 0
3 years ago
How do you work this out?
oksian1 [2.3K]
I think this problem is 3
8 0
3 years ago
Other questions:
  • How can you find approximations (estimations) of square roots?
    10·2 answers
  • <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%20%3D%20%5Cfrac%7B16%7D%7B24%7D%20" id="TexFormula1" title=" \frac{2}
    12·2 answers
  • I don't know what to do
    13·1 answer
  • EFGH is translated 1 unit to the right and 5 units down.
    11·2 answers
  • Fourteen percent of the town's population are above the age of 65. if there are 320 residents over the age of 65,approximately w
    11·1 answer
  • HELP PLEASE I'M BEING TIMED WILL GIVE BRAINLIEST
    15·2 answers
  • Please help me fill those in please please I will give you credit please
    7·1 answer
  • How can ΔABC be mapped to ΔXYZ?
    13·2 answers
  • there were 62 people in the movie theater for the matinee. ticket sales for that showing were $364. if adult tickets cost $7 and
    15·1 answer
  • Find the slope of<br> the line.<br> [?]<br> Give your answer as<br> a fraction in simplest<br> form.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!