Step-by-step explanation:
in such a case, where we have all the sides and need angles, the best tool is the extended Pythagoras (for general triangles and not just for right-angled ones) :
c² = a² + b² - 2ab×cos(C)
c is the side opposite of angle C.
the side opposite of B is CA.
so, we have
220² = 100² + 160² - 2×100×160×cos(B)
48,400 = 10,000 + 25,600 - 32,000×cos(B)
12,800 = -32,000×cos(B)
cos(B) = -12,800/32,000 = -0.4
B = 113.5781785...° ≈ 114°
Seven is 3,775 because if you add 51 plus 52 and go all the way to a hundred it equals to 3,775.
1/5 of 14 inches is 2.8
so the scale drawing of the ship is 2.8 inches long
The Hypotenuse Angle Theorem states that if one acute angle and the hypotenuse of the two right angled triangles are congruent then the triangles are congruent.
ADC is congruent to triangle CBA given that ∠D and ∠B are right angles and DC is parallel to AB.
Given: ∠D and ∠B are right angles
DC || AB
Prove: △ADC ≅ △CBA
STATEMENT REASON
1.∠D and ∠B are right angles 1. Given
2. ∠1=∠ 2 2. If lines are parallel, then alternate
Interior angles are equal
3. AC ≅ AC 3. Common to both △s
4. △ADC ≅ △CBA 4. Hypotenuse Angle Theorem
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Answer:
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Step-by-step explanation:
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