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charle [14.2K]
3 years ago
13

em um triângulo retângulo a hipotenusa mede 15 cm e um dos catetos mede 12 cm.Qual é o perímetro desse retângulo?

Mathematics
1 answer:
ElenaW [278]3 years ago
5 0
The answer to Em um triângulo retângulo a hipotenusa mede 15 cm e um dos catetos mede 12 cm.Qual é o perímetro desse retângulo? 
<span><span><span>borda a =12 </span>unidades
</span><span><span>borda b =9 </span>unidades
</span><span><span>borda c =15 </span>unidades
</span><span><span>ângulo A =</span>53.1 graus
</span><span><span>ângulo B =36.9 </span>graus
</span><span><span>área=54 </span>square </span></span>unidades
Agora temos que
Determinar o comprimento da base do triângulo.
Calcula-se a altura do triângulo.
Multiplicar o comprimento da base por o comprimento da altura.
Multiplique por dois.
<span>Adicionar a unidade de medida apropriada.</span>

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What's the common factors for 39 and 65?
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3 years ago
Sandra is putting up a fence around her garden, which is in the shape of a square. Each foot of fencing costs $9. If each side o
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4 0
3 years ago
B) T is due north of C, calculate the bearing of B from C
choli [55]

Answer:

(a) 52°

(b) 322°

Step-by-step explanation:

(a) The details of the circle are;

The diameter of the circle = AOC

The center of the circle = Point O

The point the line AT cuts the circle = Point B

The point the tangent PT touches the circle = Point C

Angle ∠COB = 76°

We have that angle AOB and angle COB are supplementary angles, therefore;

∠AOB + ∠COB = 180°

∠AOB = 180° - ∠COB

∴ ∠AOB = 180° - 76° = 104°

∠AOB = 104°

OA = OB = The radius of the circle

Therefore, ΔAOB  =  An isosceles triangle

∠OAB = ∠OBA by base angles of an isosceles triangle are equal

∠AOB + ∠OAB + ∠OBA = 180° by angle summation property

∴ ∠AOB + ∠OAB + ∠OBA = ∠AOB + ∠OAB + ∠OAB = ∠AOB + 2×∠OAB = 180°

∠OAB = (180° - ∠AOB)/2

∴ ∠OAB = (180° - 104°)/2 = 38°

∠TAC = ∠OAB = 38° by reflexive property

AOC is perpendicular to tangent PT at point C, by tangent to a circle property, therefore;

∠TCA = 90° and ΔTCA = A right triangle

∠TAC + ∠ATC + ∠TCA = 180° by angle sum property

∠ATC = 180° - (∠TAC + ∠TCA)

∴ ∠ATC = 180° - (38° + 90°) = 52°

Angle ATC = 52°

(b) In ΔABC, ∠ABC = Angle subtended by the diameter = 90°

∴ ΔABC = A right triangle

∠ABC and ∠TBC are supplementary angles, therefore;

∠ABC + ∠TBC = 180°

∠TBC = 180° - ∠ABC

∴ ∠TBC = 180° - 90° = 90°

∠TCB = 180° - (∠TBC + ∠ATC)

∴ ∠TCB = 180° - (90° + 52°) = 38°

The bearing of B from C = (360° - 38°) = 322°.

7 0
2 years ago
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