Answer:
∠A= 45°....
Step-by-step explanation:
To find ∠A first we have to find the length of side B by cosine law:
b^2 = a^2 + c^2 – 2 a c cos B
b^2=(2)^2 +(√3 + 1)^2 - 2(2)(√3 + 1) cos 60
b^2 = 6
Taking square root at both sides:
√b^2 = √6
b= 2.45
Now we can calculate ∠A by sine law:
b / sin B = a / sin A
2.45 / sin 60 = 2 / sin A
sin A= 2* √3/2 /2.45
sin A = 2√3/2 * 1/2.45
sinA = 2√3/ 4.9
sin A = 0.7069
sin A = 0.707
A=45°
Thus ∠A= 45°....
Answer:
4x-8+4y
Step-by-step explanation:
The HL Postulate
You know that the two hypotenuses are congruent and that the two triangles each contain a shared segment in the middle (so by the reflexive property they are congruent). You have two congruent hypotenuses and two congruent legs, so you can conclude congruency by HL.
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Answer:
BC ≈ 8.6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle , that is
BC² = AB² + AC² = 7.3² + 4.6² = 53.29 + 21.16 = 74.45 ( square root both sides )
BC = 
≈ 8.6 ( to 1 dec. place )
