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Scilla [17]
3 years ago
7

Find the missing sides from the right-angled triangled given below

Mathematics
2 answers:
umka21 [38]3 years ago
6 0

Answer:

8 cm

Step-by-step explanation:

Ksenya-84 [330]3 years ago
4 0

\large{ \tt{❃ \: STEP - BY - STEP \: EXPLANATION}} :

  • We're provided : In right angled triangle PQR , The length of of PR & length of PQ are 10 cm & 6 cm respectively & we're asked to find out the length of OR.

  • You need to know : The longest side, which is the opposite side of right angle is the hypotenuse ( h ) . When the reference angle is not given , You can assume the remaining sides either perpendicular ( p ) or base ( b ) .

  • Here , Hypotenuse ( h ) = 10 cm , Base ( b ) = ? & Perpendicular ( P ) = 6 cm

  • Before solving, You will have to know : The square of the hypotenuse of a right - angled triangle is equal to the sum of square of the remaining two sides.

\large{ \tt{❁ \: LET'S\: START}} :

\boxed {\large{ \bf {\:  ♕ \: {h}^{2} =  {p}^{2} +  {b}^{2}   }}}

- Plug the known values and then simplify !

\large{ \tt{ ↦ \: {10}^{2}  =  {6}^{2}  +  {b}^{2} }}

\large{ \tt{↦100 = 36 +  {b}^{2} }}

\large{ \tt{↦36 +  {b}^{2}  = 100 }}

\large{ \tt{ ↦{b}^{2}  = 100  - 36}}

\large{ \tt{↦ {b}^{2}  = 64}}

\large{ \tt{↦b =  \sqrt{64}}}

\boxed{ \large{ \tt{↦ \: b = 8 \: cm}}}

  • Hence , The length of QR is 8 cm .

✺ Raise you hand and clear your doubts , the bullies at the last benches and the nerds at the first benches are not going to write your exam , it doesn't matter what class will think about you!

♡ Hope I helped! ツ

♨ Have a wonderful day / evening! ☼

# StayInAndExplore ! ☂

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8 0
4 years ago
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kari74 [83]
Close all yours tabs
6 0
3 years ago
If B is the midpoint of AC, and AB=5/2x+12 and AC=12x-4, what is the length of BC?
Setler [38]

Answer:

22

Step-by-step explanation:

We know that AC = 2 * AB so we can write:

12x - 4 = 2(5/2 x + 12)

12x - 4 = 5x + 24

7x = 28

x = 4

Since AB = BC the answer is 5/2 * 4 + 12 = 22.

8 0
3 years ago
Name the equation for any horizontal line of your choosing
noname [10]

Answer:

Horizontal lines have a slope of 0. Thus, in the slope-intercept equation y = mx + b, m = 0. The equation becomes y = b, where b is the y-coordinate of the y-intercept.

Step-by-step explanation:

3 0
3 years ago
18) If the straight line y=m X touches the circle (x - 2)^2 + (y - 6)^2 = 4, then m= ......
fenix001 [56]

Answer:

(8) d. 4/3    (9) a. (X - 4)^2 + (y-4)^2= 25

Step-by-step explanation:

8. CENTER OF CIRCLE: O (2,6)

     radius of circle : r = √4 = 2

if m = 4/3 line: y = 4/3 x

perpendicular distance (d) from center of circle to line y = 4/3 x is

d = |((4/3 x 2) + (-1) x 6)| / √((4/3)² + (-1)²) = |(-10/3)| / √(25/9) = (10/3) / (5/3) = 2

d = r means line touch with circle

9. center of circle is the intersection of the diagonals of rectangle (4,4) and its radius is 5 (illustrated)

the equation of circle: (X - 4)^2 + (y-4)^2= 25

8 0
3 years ago
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