The area of a triangle is area=1/2•base•height or a= b•h / 2
Option 3:
is the right answer
Step-by-step explanation:
Given expression is:
![(\sqrt{2})(\sqrt[3]{2} )](https://tex.z-dn.net/?f=%28%5Csqrt%7B2%7D%29%28%5Csqrt%5B3%5D%7B2%7D%20%29)
In order to simplify the expression we have to convert the radicals in exponents

As he base is same, the powers can be added

Hence,
Option 3:
is the right answer
Keywords: Exponents, radicals
Learn more about exponents at:
#LearnwithBrainly
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.
Answer:
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Step-by-step explanation: