Concept explainers
a.
To calculate: Thelength of OK
a.
Answer to Problem 4PSA
The length of OK is
Explanation of Solution
Given:
The measures of the given lengths are as follows:
JK =
KM =
Concept used:
Here, we are using the concept hypotenuse leg theorem.
Calculation:
According to property associated with altitudes in right
Hence,
So,
→
→
→
Conclusion: Hence, the length of OK is
b.
To calculate: Thelength of KM
b.
Answer to Problem 4PSA
The length of KM is
Explanation of Solution
Given:
The measures of the given lengths are as follows:
OK =
JK =
Concept used:
Here, we are using the concept hypotenuse leg theorem.
Calculation:
According to property associated with altitudes in right angled triangle. The altitude to hypotenuse divides the triangles into two similar triangles.
Hence,
So,
→
→
Conclusion: Hence, the length of KM is
c.
To calculate: Thelength of JM
c.
Answer to Problem 4PSA
The length of JM is
Explanation of Solution
Given: The measures of the given lengths are as follows:
JO =
JK =
Concept used:
Here, we are using the concept hypotenuse leg theorem and Pythagoras theorem.
Calculation:
Here,
Now, according to property associated with altitudes in right angled triangle. The altitude to hypotenuse divides the triangles into two similar triangles.
Hence,
So,
→
→
And we know that
So,
Conclusion: Hence, the length of JM is
d.
To calculate: Thelength of OM
d.
Answer to Problem 4PSA
The length of OM is
Explanation of Solution
Given:
The measures of the given lengths are as follows:
KM =
JK =
Concept used:
Here, we are using the concept hypotenuse leg theorem and Pythagoras theorem.
Calculation:
According to property associated with altitudes in right angled triangle. The altitude to hypotenuse divides the triangles into two similar triangles.
Hence,
So,
→
→
Here,
And,
Conclusion: Hence, the length of OM is
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