Triangle Q S R is shown. Angle Q S R is a right angle. Altitude s is drawn from point S to point T on side Q R to form a right a
2 answers:
*The diagram is in the attachment
Answer:
q = 2√14
Step-by-step explanation:
To determine the value of q, apply the leg rule/geometric mean theorem, which is:
Hypotenuse/leg = leg/part
Hypotenuse = 10 + 4 = 14
Leg = q
Part = 4
Plug in the values into the equation:
14/q = q/4
Cross multiply
q*q = 14*4
q² = 56
q = √56
q = √(4*14)
q = 2√14
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Answer:
875
Step-by-step explanation:
As given, there is a three digit number
So, let assume three digit number be `xyz`.
Now, as given tens digit is 2 greater than the unit digit.
∴
Next, the hundred digit one greater than the tens digit.
∴
The sum of the tens and the hundreds digits is three times the units digit.
∴
Now, substituting the value in the equation.
⇒
solving it to get value of y
⇒
⇒
∴
Next, finding value of z
y=
substituting the value of y and subtracting both side by 2
∴ z=
Last, finding the value of x
substituting the value of y
∴ x= 8
xyz= 875