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Oksi-84 [34.3K]
3 years ago
9

Each leg of a 45°-45°-90° triangle measures 12 cm.

Mathematics
1 answer:
vitfil [10]3 years ago
4 0

Answer:

12 sqrt(2)

Step-by-step explanation:

Givens

a = 12 cm

b = 12 cm

c = ??

The triangle is isosceles with 1 right angle and 2 45 degree angles.

Formula

c^2 = a^2 + b^2

c^2 = 12^2 + 12^2

c^2 = 144 + 144

c^2 = 288

c^2 = 144 * 2

c = sqrt(144) * sqrt(2)

c = 12 * sqrt(2)

The answer isn't there. 12*sqrt(2) is the correct answer, 12sqrt(3).

Was this just a typo of some kind.

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In the given diagram , TY is a tangent to the circle TVS . If <SVT = 48° and |VS| = |ST| . What is < VTY.​
ycow [4]

Answer:

  • 84°

Step-by-step explanation:

∠VTY is the tangent chord angle

  • Tangent chord angle is the half of the intercepted arc

∠TSV is the inscribed angle.

  • Inscribed angle is the half of the intercepted arc

<u>Since both of the mentioned angles refer to same arc, they are of same value.</u>

  • ∠VTY = ∠TSV

ΔTVS is isosceles as VS = ST, therefore the opposite angles are same.

  • m∠T = m∠V = 48°

<u>The measure of angle S</u>

  • m∠S = 180° - 2*48° = 84°

<u>The required angle</u>

  • m∠VTY = 84°
4 0
3 years ago
Read 2 more answers
ABCD∼EFGH AD=45 in. , EH=75 in. , and AB=30 in. What is EF ?
Marrrta [24]
EF = 50 in.

In similar figures, corresponding sides are proportional.  We use the similarity statement ABCD~EFGH to write a proportion:

\frac{AB}{EF}=\frac{AD}{EH}&#10;\\&#10;\\ \frac{30}{x}=\frac{45}{75}

Cross multiply the proportion:
45*x = 75*30
45x = 2250

Divide both sides by 45:
45x/45 = 2250/45
x = 50
3 0
3 years ago
1 euro = 0.84 sterling. A hotel cost 630 sterling how much will that cost in euro's
Dmitry_Shevchenko [17]
630 sterling * 1 euro / 0.84 sterling

630 sterling divided by 0.84 sterling = 750 euros
4 0
3 years ago
guys help asap plsss!
KiRa [710]

Given:

The triangle ABC rotated 270 degrees clockwise.

The rule of rotation is

(x,y)\to (-y,x)

To find:

The coordinates of point B after the given rotation.

Solution:

From the given graph, it is clear that the coordinates of point B are (4,4).

The given rule of rotation is:

(x,y)\to (-y,x)

Using this rule, we get

B(4,4)\to B'(-4,4)

The coordinates of point B after the given rotation are (-4,4).

Therefore, the correct option is C.

6 0
3 years ago
PLz help me answer this
igor_vitrenko [27]
Answer is D
Merry Christmas
6 0
3 years ago
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