With the coordinates of the vertices of triangle ABC at A(-1, 3), B(-5, -1), C(3, -1), we have;
- Triangle ABC is an isosceles triangle
<h3>How can the type of a given triangle be found?</h3>
Taking the vertices of ∆ABC as found in a similar question online as A(-1, 3), B(-5, -1), C(3, -1), calculating the lengths of the sides of the triangle gives;
AB = √((-1 - (-5))² + (3 - (-1))²) = 4•√2
AC = √((-1 - 3)² + (3 - (-1))²) = 4•√2
BC = √((-5 - 3)² + (-1 - (-1))²) = 8
AB = AC = 4•√2
- Triangle ABC is an <u>isosceles triangle</u> by the definition of isosceles triangles.
<em>(AB)² + (AC)² =</em> (4•√2)² + (4•√2)² = 64 = (BC)²
Therefore;
(BC)² = (AB)² + (AC)²
Which indicates that triangle ABC is an isosceles right triangle.
Learn more about the types of triangles here:
brainly.com/question/1058720
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Volume of the cylinder = πr²*h
V = π*5²*12=300π cm³ ≈ 942 cm³
Find 10% of 40 to find the amount of the tax:
Convert 10% to a decimal
Multiply:
So the amount of the tax is $4. Just add this to the purchase amount to find the total amount he paid:
So the total amount he paid was $44.
Answer:
Step-by-step explanation:
dimes are worth 0.10......and u have 3......so 3 x 0.10 = 0.30
quarters are worth 0.25...and u have 5....so 5 x 0.25 = 1.25
nickels are worth 0.05....and u have 6....so 6 x 0.05 = 0.30
for a total of : 0.30 + 1.25 + 0.30 = $ 1.85 in total change <==