Answer:
The length of KH is 6 units and OH is 6.3 units.
Step-by-step explanation:
Given the figure with lengths LO=5 and OK=4. we have to find the length of OH and KH.
In ΔLOH
By Pythagoras theorem
→ (1)
In ΔKOH,
→ (2)
In ΔKHL,
Using eq (1) and (2), we get
⇒ 
⇒ 
Put the above value in eq 2, we get
⇒ KH=6 units.
Answer:
substitute 12 for x in the equation
multiply 68 by 12 months
Multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.
<h3>How to verify if a triangle form Pythagorean triple?</h3>
Pythagoras's principle follows the rule:
c² = a² + b²
where
- a and b are the legs
- c is the hypotenuse side.
Therefore, Pythagorean triples are a² + b² = c² where a, b and c are the three positive integers. The most known and smallest triplets are (3,4,5).
If we reduced the length of the side of the triangle with the greatest common factor, it should give us 3, 4, 5.
Hence,
21, 28 and 35 has greatest common factor as 7
21 / 7 , 28 / 7 and 35 / 7
3, 4, 5
Hence, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.
learn more on Pythagorean triple here: brainly.com/question/16246042
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The measure of angle theta is 30 degrees.
This is a 30-60-90 triangle where the short leg is half that of the hypotenuse. The short leg is opposite the smallest angle 30 degrees.
You can use trig to find that
sin(angle) = opposite/hypotenuse
sin(theta) = 5/10
sin(theta) = 0.5
theta = arcsin(0.5)
theta = 30 degrees
