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inysia [295]
3 years ago
7

How to tell if it’s a right triangle from the legs and hypotenuse

Mathematics
1 answer:
mihalych1998 [28]3 years ago
3 0
Use the Pythagorean theorem.

If One leg is a, the other is b, and the hypotenuse is c, then

a² + b² = c²

There ya go
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PLEASE PEOPLE, HELP ME!! Geometry
Oksanka [162]
I use the sin rule to find the area

A=(1/2)a*b*sin(∡ab)

1) A=(1/2)*(AB)*(BC)*sin(∡B)
sin(∡B)=[2*A]/[(AB)*(BC)]

we know that
A=5√3
BC=4
AB=5
then

sin(∡B)=[2*5√3]/[(5)*(4)]=10√3/20=√3/2
(∡B)=arc sin (√3/2)= 60°

 now i use the the Law of Cosines 

c2 = a2 + b2 − 2ab cos(C)

AC²=AB²+BC²-2AB*BC*cos (∡B)

AC²=5²+4²-2*(5)*(4)*cos (60)----------- > 25+16-40*(1/2)=21

AC=√21= 4.58 cms

the answer part 1) is 4.58 cms

2) we know that

a/sinA=b/sin B=c/sinC

and

∡K=α

∡M=β

ME=b

then

b/sin(α)=KE/sin(β)=KM/sin(180-(α+β))

KE=b*sin(β)/sin(α)

A=(1/2)*(ME)*(KE)*sin(180-(α+β))

sin(180-(α+β))=sin(α+β)

A=(1/2)*(b)*(b*sin(β)/sin(α))*sin(α+β)=[(1/2)*b²*sin(β)/sin(α)]*sin(α+β)

A=[(1/2)*b²*sin(β)/sin(α)]*sin(α+β)

KE/sin(β)=KM/sin(180-(α+β))

KM=(KE/sin(β))*sin(180-(α+β))--------- > KM=(KE/sin(β))*sin(α+β)

the answers part 2) are

side KE=b*sin(β)/sin(α)
side KM=(KE/sin(β))*sin(α+β)
Area A=[(1/2)*b²*sin(β)/sin(α)]*sin(α+β)

5 0
2 years ago
Alexandria purchased a computer on sale. The original price was $1200. The sale price was 5/6 of the original price. how much di
Vaselesa [24]
I believe you ment to say sale price but I hope this helps you understand your question. The original price was 1200, and if it were 5/6 on sale (this method works for all questions like this) you would do 1200 ÷ 6 = 200 x 5 = $1000.
7 0
3 years ago
Which of the following terms correctly describe the object below?
erica [24]

Answer:

a polyhedron is a three dimensional shape with flat polygonal faces, straight edges and sharp corners or vertices.

a structure whose outer surfaces are triangular and converge to a single step at the top, making the shape roughly a pyramid in the geometric sense

polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted.

solid geometry is the traditional name for the geometry of three-dimensional Euclidean space. Stereometry deals with the measurements of volumes of various solid figures including pyramids, prisms and other polyhedrons; cylinders; cones; truncated cones; and balls bounded by spheres

a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Create a story context for the following expression.<br> 1/3 x ($20 - $3.20)
maksim [4K]

Answer:

Julie and her 2 sisters want to buy a new videogame, it costs $20, if their grandmother gives them $3.20 to buy it, how much will each have to pay?

Step-by-step explanation:

When you have a problem like this you just have to thing on a reason to multiply by a fraction and a withdrawal from the total, if you are multiplying by a fraction, that means you are dividing money, so thats why we put julie and her sisters as subjects, and her grandma givin them money is to withdraw from the total amount those $3.20

4 0
3 years ago
How do i find an equation for a line with an x-intercept of 4 and a y-intercept of -2
ivann1987 [24]

Answer:

The equation of a line is y = ax + b, where a is the slope and b is the y-intercept.  

Since we have the y-intercept, all we need to do is find the slope. To find the slope, you need 2 coordinates.

The y-intercept is where the line crosses the y axis, so it is where x is 0. Since the y intercept is -2, that means the first coordinate is (0, -2)

The x-intercept is where the line crosses the x axis, so it is where y is 0. Since the x intercept is 4, that means the second coordinate is (4, 0)

Since we already have the y-intercept, all we do is put the slope in the equation: y = 1/2x - 2.

Step-by-step explanation:

6 0
2 years ago
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