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3 years ago

A triangle has sides measuring 1.5 m, 2 m and 2.5 m. Show that this is a right-angled triangle.

Mathematics

1 answer:

Nady [450]3 years ago

7 0

Answer:

Yes, this is a right triangle

Step-by-step explanation:

Plug the values into the pythagorean thm.

1.5^2 + 2^2 = 2.5^2

2.25+4=6.25

6.25=6.25

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Helppp please i need this asap

Solnce55 [7]

I believe it’s 5,832,000

5^3 (5 times 5= 25 times 5= 125)^6(750 times 6= 4,500 etc)

4 0

3 years ago

Find the area of the given triangle to the nearest square unit. Angle a= 30 degrees, b=10, angle B=45 degrees

storchak [24]

Answer:

$A=34\ units^2$

Step-by-step explanation:

Suppose we have a general triangle like the one shown in the figure.

We know the angle A, the angle B and the length b.

$A = 30\°\\\\B = 45\°\\\\b = 10$

By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.

$A + B + C = 180\\\\30 + 45 + C = 180$

We solve the equation and thus we find the angle C.

$C = 180 - 30-45\\\\C = 105$

We already know the three triangle angles.

Now we use the sine theorem to calculate the sides c and a.

The sine theorem says that:

$\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}$

Then

$\frac{sin(30)}{a}=\frac{sin(45)}{10}$

$\frac{sin(30)}{\frac{sin(45)}{10}}=a$

$a=7.071$

Also

$\frac{sin(105)}{c}=\frac{sin(45)}{10}$

$\frac{sin(105)}{\frac{sin(45)}{10}}=c$

$c=13.660$

Finally, we use the Heron formula to calculate the triangle area

$A=\sqrt{s(s-a)(s-b)(s-c)}$

Where s is:

$s=\frac{a+b+c}{2}$

Therefore

$s=\frac{7.071+10+13.660}{2}$

$s=15.37$

$A=\sqrt{15.37(15.37-7.071)(15.37-10)(15.37-13.66)}$

$A=34\ units^2$

3 0

3 years ago

What is the equation of the line through (-6, -5) and (-4, -4)?

Norma-Jean [14]

Answer:

y = 1/2x -2

Step-by-step explanation:

The 2-point form of the equation for a line is useful for answering questions like this.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1 . . equation of a line through (x1, y1) and (x2, y2)

Filling in the given points, the equation becomes ...

y = (-4 -(-5))/(-4 -(-6))/(x -(-6)) -5

y = 1/2(x +6) -5

y = 1/2x -2

3 0

3 years ago

Solve using elimination x-2y=12 and 5x+3y=-44 (4,8) (-4,8) (4,-8) (-4,-8)

Leya [2.2K]

Answer:

(-4, -8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

x - 2y = 12

5x + 3y = -44

Step 2: Rewrite Systems

x - 2y = 12

[Multiplication Property of Equality] Multiply everything by -5: -5x + 10y = -60

Step 3: Redefine Systems

-5x + 10y = -60

5x + 3y = -44

Step 4: Solve for y

Elimination

Combine 2 equations: 13y = -104
[Division Property of Equality] Divide 13 on both sides: y = -8

Step 5: Solve for x

Define original equation: x - 2y = 12
Substitute in y: x - 2(-8) = 12
Multiply: x + 16 = 12
[Subtraction Property of Equality] Subtract 16 on both sides: x = -4

6 0

3 years ago

Round 436486.48649 nearest whole number?

Annette [7]

Its 436486 because you don't need to round it up

7 0

3 years ago

A triangle has sides measuring 1.5 m, 2 m and 2.5 m. Show that this is a right-angled triangle.​

A triangle has sides measuring 1.5 m, 2 m and 2.5 m. Show that this is a right-angled triangle.