MATHEMATICS HIGH SCHOOL

)) A triangle has sides with lengths of 5 inches, 12 inches, and 13 inches. Is it a righttriangle?
yes
no

Answers

Answer 1

Answer:

Answer:Yes

Step-by-step explanation:

Given

Triangle has sides

length $a=5\ in.$

$b=12\ in.$

$c=13\ in.$

If the triangle is Right angled then it must satisfy the Pythagoras rule

$(\text{Perpendicular})^2+(\text{base})^2=(\text{Hypotenuse})^2$

$(a)^2+(b)^2=(c)^2$

$5^2+12^2=13^2$

$25+144=13^2$

$169=13^2$

$13^2=13^2$

Therefore The given triangle is right angled

Related Questions

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Find the midpoint of the segment with the following endpoints.
(5,5) and (10,1)

Answers

Answer:

(7.5,3)

Step-by-step explanation:

Image for explanation

If a triangle has a height of 12 inches and a base of 5-inches what is its area

Answers

Area of triangle = 1/2 * base * hight
A = 1/2 * 12 * 5 = 30 inch^2

A=(1/2)bh
h=12
b=5
A=(1/2)(5)(12)
A=(1/2)(60)
A=30
answe ris 30 in^2

What does m and b stand for in y=mx+b?

Answers

B is where the line crosses the y axis

its called slope-intercept form. m is the slope where the lines cross and b is the y- coordinate of the y-intercept.

PLEASE HELP Solve |4x - 7| = 13.

Answers

the absolut value signs mean that whatever is inside of them, you make it positive. so 4x-7 could equal 13 or -13 or both

so 4x-7=13
add 7 to both sides
4x=20
divide both sides by 4
x=5
this is one solution

4x-7=-13
add 7 to both sides
4x=-6
divide both sides by 4
x=-1.5

x=5 or -1.5

$|4x - 7| = 13\n4x-7=13 \vee 4x-7=-13\n4x=20 \vee 4x=-6\nx=5 \vee x=-(6)/(4)=-(3)/(2)$

There are 180 people registered to attend a conference. In order to seat all of the attendees, rows of 12 chairs are set up in the conference room. How many rows need to be set up in order to seat all the attendees with no extra chairs?

Answers

Answer:

15 rows

Step-by-step explanation:

180 divided by 12 is 15.

During harvesting season at Florida Blue Farms, hand pickerscollect about 200 pounds of blueberries per day with a 95%
pack-out rate. The blueberry harvester machine collects about
22,000 pounds of blueberries per day with a 90% pack-out rate.
The pack-out rate is the percentage of collected blueberries
that can be packaged to be sold, based on Florida Blue Farms'
quality standards.
Let h represent the number of days the hand pickers work and
m represent the number of days the harvester machine is used.
Which of the following algebraic expressions can be used to
estimate the amount of collected blueberries that are packed at
the Florida Blue Farms for fresh consumption this season?

A (0.95h+200)(0.90+22000)

B 0.95(200h)+0.90(22000m)

C 200.95h+22000.90m

D (200h+0.95)(22000m+0.90)

Answers

The farm uses two harvesting tools for packages that needs to be sold. So, we have to consider the rates of both harvest tools and the number of harvest by both tools. The algebraic expression is: $0.95(200h) + 0.90(22000m)$