Answer:
Side*side= 0.5625 inch
Step-by-step explanation:
Answer:
See explanation
Step-by-step explanation:
In ΔABC, m∠B = m∠C.
BH is angle B bisector, then by definition of angle bisector
∠CBH ≅ ∠HBK
m∠CBH = m∠HBK = 1/2m∠B
CK is angle C bisector, then by definition of angle bisector
∠BCK ≅ ∠KCH
m∠BCK = m∠KCH = 1/2m∠C
Since m∠B = m∠C, then
m∠CBH = m∠HBK = 1/2m∠B = 1/2m∠C = m∠BCK = m∠KCH (*)
Consider triangles CBH and BCK. In these triangles,
- ∠CBH ≅ ∠BCK (from equality (*));
- ∠HCB ≅ ∠KBC, because m∠B = m∠C;
- BC ≅CB by reflexive property.
So, triangles CBH and BCK are congruent by ASA postulate.
Congruent triangles have congruent corresponding sides, hence
BH ≅ CK.
Using the geometric mean concept, it is found that the value of a is 18.
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The geometric mean, of a data-set of n elements, , is given by:
That is, the nth root of the multiplication of all elements.
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In this question:
- Two elements(n = 2), a and 34.
Thus:
We find the square of each side, so:
Simplifying both sides by 17:
The value of a is 18.
A similar example is given at brainly.com/question/15010240
Answer:
y = + rise * 2/5
Step-by-step explanation: