Complete the following statement. 16/ = -8
2 answers:
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<h3>Geometric mean of 5 and 7 is 5.9161</h3>
<em><u>Solution:</u></em>
Given that,
We have to find the geometric mean of 5 and 7
The geometric mean of two numbers a and b is the square root of product of a and b
Which means,
Thus geometric mean of 5 and 7 is 5.9161
Answer:
Step-by-step explanation:
Given: △ABC, BC>AC, D∈ AC , CD=CB
To prove: m∠ABD is acute
Proof: In ΔABC, the angle opposite to side BC is ∠BAC and the angle opposite to side AC is ∠ABC.
Now, it is given that BC>AC, then ∠BAC>∠ABC.. (1)
In ΔBDC, using the exterior angle property,
∠ADB=∠DBC+∠BCD
∠ADB=∠DBC+∠BCA
⇒∠ADB>∠BAC (2)
From equation (1) and (2), we get
∠ADB>∠BAC
⇒∠ADB>∠ABC
⇒DB>AB
Hence, m∠ABD is acute
