A triangle has sides with lengths of 8 millimeters, 15 millimeters, and 17 millimeters. Is it a right triangle?

Answers

Answer 1

Answer:

Answer:

yes.

Step-by-step explanation:

to find this answer, use the pythagorastheorem.the pythagoras theorem states that a² + b² = c².

to see if this is a right angled triangle, we will use this formula, as the pythagoras theorem only works for right angled triangles.

we are going to work out c, which is always the hypotenuse. the hypotenuse is the longest side of a triangle, that is larger than the other values. we know that the hypotenuse of this triangle is 17, so let’s see if that’s the answer we get.

calculation:

a² + b² = c²

a = 8 millimetres

b = 15 millilitres

c = ?

8² + 15² = c²

64 + 225 = c²

64 + 225 = 289.

289 = c²

√289 = c

√289 = 17.

the pythagoras theorem correctly identified the length of the hypothenuse. as i said earlier, this theorem only works on right angled triangles, therefore, this triangle is right angled.

Related Questions

Marge has saved $350 toward the cost of her vacation. The vacation will cost $1,750. What percent of the cost of the vacation has Marge saved?
Write the equation of the line perpendicular to 2x-3y=12 which passes through the point (16,-7).
Multiply and simplify square root of 3ab * square root of 6ab^3 NEED HELP FAST!!!!!!
Cho and Jeff each bought a used bike. Jeff's bike was not on sale and cost the same amount as theoriginal price of Cho's bike. Cho's bike was on sale for $20 less than the original price, and her total cost was half of what Jeff paid. How much money did Jeff pay for his bike? A. $30 B. $10 C. $20 D. $40
Solve [4x +2] =6Select one:O a. 1b. 2O c. 1 or -2O d. -1 or 2

What is 1725 with a 15% markup

Answers

$\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\n \cline{1-1} \n \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \n\n \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{15\% of 1725}}{\left( \cfrac{15}{100} \right)1725}\implies 258.75~\hfill~\underset{ \textit{marked up} }{\stackrel{ 1725~~ + ~~258.75 }{\text{\LARGE 1983.75}}}$

Answer:

1983.75

Step-by-step explanation:

What is 1725 with a 15% markup?

15% = 0.15

We take

1725 + (1725 x 0.15) = 1983.75

So, the answer is 1983.75

Find the coordinates for the midpoint of the segment with endpoints given. (5, 6) and (8, 2)

Answers

we first introduce midpoint formula
X1+X2 over 2;Y1+Y2 over 2
5+8 over 2 ; 6+2 over 2
x=13 over 2 ; Y=4
therefore midpoint=(13/4;4)

Deon has 10 bikes if he gave 2 away how much does he have

Answers

8 bikes because say you have 10 fingers and you put 2 fingers down than you would have 8

Evaluate the expression: 6 - |-4| + 3 × |-2|

Answers

The bars with some of the numbers mean the those number MUST be positive.

So: 6 - 4 + 3 x 2 = 2 +6 = 8

6 - 4 + 3 × 2 = 2 + 6 = 8

Find the roots of the equation by completing the square: 3x^2-6x-2=0. Prove your answer by solving by the quadratic formula.

Answers

Calculating delta:
Δ=b²-4ac
a=3
b=-6
c=-2
Δ=36-4*3*(-2)=36+24=60
√Δ=√60
Delta is positive so there are two roots:
x1= $\frac{ -b+ \sqrt[2]{delta} }{2a}$
x1= $(6+ √(delta) )/(2*3)$ = $(3+ √(15) )/(3)$
x2= $(3- √(15) )/(3)$

$3x^2-6x-2=0\n\n(\sqrt3\ x)^2-2\cdot\sqrt3\ x\cdot\sqrt3+(\sqrt3)^2-(\sqrt3)^2-2=0\n\n(\sqrt3\ x-\sqrt3)^2-3-2=0\n\n(\sqrt3\ x-\sqrt3)^2=5\iff\sqrt3\ x-\sqrt3=-\sqrt5\ \vee\ \sqrt3\ x-\sqrt3=\sqrt5\n\n\sqrt3\ x=\sqrt3-\sqrt5\ \vee\ \sqrt3\ x=\sqrt3+\sqrt5\ \ \ \ \ |multiply\ both\ sides\ by\ \sqrt3\n\n3x=3-√(15)\ \vee\ 3x=3+√(15)\ \ \ \ \ \ \ |divide\ both\ sides\ by\ 3\n\nx=(3-√(15))/(3)\ \vee\ x=(3+√(15))/(3)$

$Prove:\n\n3x^2-6x-2=0\na=3;\ b=-6;\ c=-2\n\Delta=b^2-4ac\to\Delta=(-6)^2-4\cdot3\cdot(-2)=36+24=60\n\nx_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=√(60)=√(4\cdot15)=\sqrt4\cdot√(15)=2√(15)\n\nx_1=(6-2√(15))/(2\cdot3)=(3-√(15))/(3)\ \vee\ x_2=(6+2√(15))/(2\cdot3)=(3+√(15))/(3)$

50 balls are number 1 to 50 and a red dot is painted on those balls that are a multiple of 7. The balls are mixed into a bag and one ball is randomly chosen. What is the probability that the ball is numbered with a multiple of 5 or has a red dot?

Answers

Hello,

The multiples of 7 are 7,14,21,28,35,42,49 : 7 balls
The multiples of 5 are 5,10,15,20,25,30,35,40,45,50 :10 balls
In total there are 50 balls
But there is a commun ball 35

p=(7+10-1)/50=16/50=8/25=0.32

Other Questions

you can grow 4 pounds of wheat per square meter of farmland.if you grow 3600 pounds of wheat on a square farm,what is the length of the farm?

I need help like rnnnnn plzzzzz No links

Find the slope of the line that passes through the two points(2, 8) and (3, 14)

Question 1(04.03 LC)Which of the following options is an equivalent function to f(x) = 2(5)2X? (2 points)a. f(x) = 50xb. f(x) = 100xc. f(x) = 2(25)d. f(x) = 4(25)