Answer:
length= 3.7 ft.
Step-by-step explanation:
T= (square root of length) * k
1.8 seconds = (square root of 3) * k
k= 1.8 seconds / (square root of 3)
a.) T= (square root of 11) k
substituting k:
T=(square root of 11) * 1.8 seconds / (square of 3)
T= 3.4 seconds
b.) 2 seconds = (square root of length) k
substituting k:
2 seconds =(square root of length) 1.8 seconds / (square root of 3)
Divide the equation by 1.8 seconds / (square root of 3):
2 seconds / [1.8 seconds / (square root of 3)] = (square root of length)
10(square root of 3) / 9 = (square root of length)
square both sides:
100/7 ft= length
length= 3.7 ft.
Hope this helps.
Answer:
h=6
Step-by-step explanation:
according to Pythagorean theorem
h²=p²+b²
p²= 10²-8²
h²=100-64 by question (p=h)
h√36
h=6
Answer:
Angle Angle Angle (AAA) property
Step-by-step explanation:
A right angled triangle is a triangle that has one of its angles to equal 
. It could be in the form of an isosceles triangle or an acute angled triangle.
The given question compares the congruence properties of two triangles, KOM and LNM.
Thus,
<KOM = <LNM (right angle theorem)
<LMN = <KMO (common angles to both triangles)
⇒ <OKM = <NLM (property of a triangle i.e sum of angle in a triangle is 
)
ΔKOM = ΔLNM (congruence property)
Therefore, by angle angle angle (AAA) congruence property, the two triangles are similar.
