Question

Find the length of the hypotenuse of QPO

Answer 1

Where is diagram ???

Answer 2

@suyogsomavanshi

Answer 3

Here we have to use pythagoras theorem Are you familiar with it ???

Answer 4

yes A^2+B^2=C^2

Answer 5

Correct so it is nothing but hypotenuse^2= one side ^2 + other side ^2 getting this ?

Answer 6

yes

Answer 7

Perfect now expand parentheses first ......

Answer 8

would it be 2x+36=25+2x+25?

Answer 9

You are not right for this We need to use formula \[( a+ b )^2= a^2+2ab+b^2\]
Can you try now ?

Answer 10

i dont understand this step

Answer 11

okay we are having ( x + 6 )^2 correct ?
Compare it with ( a + b )^2 so a = ---- ? b = --- ?

Answer 12

so A=x and B=6

Answer 13

correct now plug it into \[a^2+2ab+b^2\] can you try ?

Answer 14

(x)^2+2*6x+6^2
x^2+12x+36

Answer 15

Perfect ..... now can you try for ( x + 5 )^2 = ---- ?

Answer 16

Hello ... are you working on it ?

Answer 17

x^2+5x+5x+25?

Answer 18

Correct try to simplify it .....

Answer 19

x^2+10x+25

Answer 20

Perfect so we get equation as \[x^2+12x+36=5^2+x^2+10x+25\]
Getting this ?

Answer 21

Now collect like terms ....

Answer 22

2x+11=5x^2?

Answer 23

you are not right please check it once