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lapo4ka [179]
2 years ago
5

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

ngle. Side Q S is labeled r and side W R is labeled q. The length of Q T is 10 and the length of R T is 4. What is the value of q? 4 StartRoot 5 EndRoot 2 StartRoot 14 EndRoot 20 StartRoot 5 EndRoot
Mathematics
2 answers:
Readme [11.4K]2 years ago
5 0

Answer:

q = 2√14

Step-by-step explanation:

got it right on test

Neko [114]2 years ago
4 0

*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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