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Feliz [49]
3 years ago
11

an angle bisector of a triangle divides the opposite side of the triangles into segments 6cm and 4cm long. A second side of tria

ngle is 7.4 cm long. Find the longest and shortest possible lengths of the thrid side of the triangle
Mathematics
1 answer:
Dovator [93]3 years ago
6 0
From the angle bisector theorem
we can first assume the third side is x, therefore
7.4/6 = x/4
    x = 7.4 × 4/6
     x =  4.93 cm
We can also use, 
7.4/4 = x/6
      x = 7.4 ×6/4
      x = 11.1 cm
Therefore, the shortest length of the third side is 4.93 cm while the longest length is 11. 1 cm
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weeeeeb [17]

Answer:

R = 56.6 ohms

Step-by-step explanation:

Given that,

The voltage of the battery, V = 1.7 volt

We need to find the resistance in the circuit if it uses a current of 0.03 A.

Let the resistance be R. It can be solved using Ohms law as follows :

V = IR

R=\dfrac{V}{I}\\\\R=\dfrac{1.7}{0.03}\\R=56.6\ \Omega

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Positive -1/-7

Negative +4/-5

Negative +1/-7

Positive +1/+7

Negative -4/-5

Negative -4/+5

Negative -1/+7

Positive +4/+5

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What is the circumference of the following circle?
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Aryan wants to plant a flower on the ground in the form of a rhombus. The diagonals of the rhombus measures 42 cm and 56 cm. Fin
Vlad1618 [11]

<u>Given</u><u> info</u><u>:</u><u>-</u>

Aryan wants to plant a flower on the ground in the form of a rhombus.The diagonals of the rhombus measures 42 cm and 56 cm.

Find the perimeter of the field ?

<u>Explanation</u><u>:</u><u>-</u>

Given that

rhombus.The diagonals of the rhombus measures 42 cm and 56 cm.

Let consider a rhombus ABCD

Let AC = (d1) = 42 cm

Let BD = (d2) = 56 cm

We know that

The digonals of a rhombus bisects each other at 90°.

AC = AO+OC

⇛ AC = 2 AO = 2 OC

⇛ AO = OC = AC/2

⇛ AO = OC = 42/2 = 21 cm

and

BD = BO+OD

⇛ BD = 2 BO = 2 OD

⇛ BO = OD = BD/2

⇛ BO = OD = 56/2 = 28 cm

We have,

∆AOB is a right angled triangle

By Pythagoras theorem,

AB² = AO²+OB²

⇛ AB² = 21²+28²

⇛ AB² = 441+784

⇛ AB² = 1225

⇛ AB = ±√1225

⇛ AB = ±35

AB is the length of the side which cannot be negative.

AB = 35 cm

We know that

All sides are equal in a rhombus

⇛ AB = BC = CD = DA

As we know

The Perimeter of a rhombus = 4×Side units

The perimeter of the rhombus ABCD

⇛ 4AB = 4BC = 4CD = 4DA

⇛ 4×35 cm

⇛ Perimeter = 140 cm

<em>∴</em><em> </em><em>T</em><em>he perimeter of the given field is 140 cm.</em>

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3 years ago
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nikdorinn [45]

Answer:

D

Step-by-step explanation:

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