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

Question

3 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] · Answer 1 · 2022-10-07T15:02:20+03:00

Readme [11.4K]3 years ago

5 0

Answer:

q = 2√14

Step-by-step explanation:

got it right on test

Neko [114] · Answer 2 · 2022-10-07T12:37:06+03:00

*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