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
64 StartRoot 5 EndRoot
1 answer:
Answer:
2 StartRoot 14 EndRoot
Step-by-step explanation:
To solve for q, we apply the leg rule theorem :
The hypotenus = 10 + 4 = 14
Leg 1 = q
Part1 = 4
According to the leg rule theorem :
Hypotenus / leg 1 = leg 1 / part 1
14 / q = q / 4
Cross multiply :
q * q = 14 * 4
q² = 56
q = √56
√56 = √4 * √14 = 2√14
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