All categories

3 years ago

If the length of each side of the right triangle shown on the grid is measured in cm, find the area of the triangle.

Mathematics

1 answer:

Rus_ich [418]3 years ago

7 0

The area of the given triangle is 25 square cm.

Step-by-step explanation:

Step 1:

First, we plot the coordinates of the triangle.

The right bottom end of the triangle is at (15, 5).

The bottom left end of the triangle is at (10, 5).

The top left end of the triangle is (10, 5).

The area of a triangle is given by half the product of its base length and the height of the triangle.

Step 2:

The area of a triangle $= \frac{1}{2} (base)(height).$

The base is the distance between the bottom two points. The base length $= 15 -10 = 5$ cm.

The height is the distance between the two left points. The height $= 15 - 5 = 10$ cm.

The area of the triangle $= \frac{1}{2} (5)(10) = 25.$

The area of the given triangle is 25 square cm.

You might be interested in

There are 874 pieces of candy in the piñata. There are 23 children at the party, and they all agreed to split the candy equally.

blsea [12.9K]

Answer:

38 candies.

Step-by-step explanation:

Given the following data;

Total number of candy = 874

Total number of children = 23

Since we know that they are all sharing it equally, each child would get;

Each child = 874/23

Each child = 38 candies.

6 0

3 years ago

What is the general form of the equation for thr given circle centered at O (0,0)

uranmaximum [27]

We can't see any given circle. The general form for a circle centered at the origin with radius r is

$x^2 + y^2 = r^2$

5 0

4 years ago

Read 2 more answers

You need a loan of $135,000 to buy a home. Calculate your monthly payment and total closing costs for each choice below. Briefly

Ahat [919]

You need to multiply the four numbers and then takeway

6 0

4 years ago

Two lines, C and D, are represented by the equations given below:

lakkis [162]

y=x+14 line 1

y=3x+2 line 2

These are both the equation of lines written in slope intercept form

y=mx+b where m is the slope and the point (0,b) is the y intercept.

The first line has a slope of m=1. The 2nd line has a slope of m=3

Since these lines have different slopes, they are not parallel, thus they will cross at some point. What you have to determine is where the lines cross, which will be a point (x,y) that is on both lines.

We already have y solved in terms of x from either equation so we can use substitution to solve the system.

Since y=x+14 from line 1, put x+14 in place of y in the equation of line 2.

x+14=3x+2

solve for x.

Subtract x from both sides...

14= 3x-x+2

14=2x+2

subtract 2 from both sides

14-2=2x

12=2x

divide both sides by 2

6=x

We now have the x value of the common point. Plug the value 6 in for x in one of the original equations and solve for y.

y=6+14

y=20

These two lines cross at the point (6,20) which is a point the two lines have in common.

Hope I helped (SharkieOwO)

3 0

3 years ago

FAST

sertanlavr [38]

Answer: The system consists of parallel lines

Step-by-step explanation:

Given system of lines :

$y=\dfrac13x-4$

$3y-x=-7$

Substitute $y=\dfrac13x-4$ in $3y-x=-7$ , we get

$3(\dfrac13x-4)-x=-7\\\\\Rightarrow\ x-12-x=-7\\\\\Rightarrow\ -12=-7$ , which is not true.

That means , system has no solution.

i.e. they are representing parallel lines. [Parallel lines do not intersect and hence they do not have solution.]

6 0

2 years ago