Can you answer this math homework? Please!
2 answers:
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Answer:
The value of y is <u>64</u>.
The value of z is <u>225</u>.
Step-by-step explanation:
Given,
AB = 136
BC = 255
∠B = 90°
We have to find the value of 'y' and 'z'.
Solution,
Let assume D is a point on AC.
Then BD = 120
And also given ∠D = 90°
Now in ΔABD
AB = 136 and BD = 120
∠D = 90°
So according to Pythagoras theorem;
"The square of the hypotenuse is equal to the sum of the squares of the other two sides".
On substituting the values, we get;
Now taking square root on both side, we get;
Hence the value of y is 64.
Again, in ΔBDC
BC = 255 and BD = 120
∠D = 90°
So according to Pythagoras theorem;
"The square of the hypotenuse is equal to the sum of the squares of the other two sides".
On substituting the values, we get;
Now taking square root on both side, we get;
Hence the value of z is 225.
