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Anarel [89]
3 years ago
15

Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each s

ide to answer the question. Which statement about triangle QRS is true?
a. Triangle QRS is an equilateral triangle because QR = RS.

b. Triangle QRS is an isosceles triangle because QR = QS.

c. Triangle QRS is a scalene triangle because all sides have different lengths.

d. Triangle QRS is an isosceles triangle because QR = RS.

Mathematics
1 answer:
tankabanditka [31]3 years ago
7 0

Answer:

D. Triangle QRS is an isosceles triangle because QR = RS.

Step-by-step explanation:

Find the length of each side of the triangle using the formula for calculating the distance between two points.

D = √(x2-x1)²+(y2-y1)²

For side RS

R(0,0) and S(5, -3.322)

RS = √(5-0)²+(-3.322-0)²

RS = √25+11.035684

RS = √36.035684

RS = 6.0029

For side RQ

R(0,0) and Q(-3, -5.2)

RQ = √(-3-0)²+(-5.2-0)²

RQ = √9+27.04

RQ = √36.04

RQ = 6.0033

For side QS

Q(-3,-5.2) and S(5, -3.322)

QS = √(5+3)²+(-3.322+5.2)²

QS = √64+3.526884

QS = √67.526884

QS = 8.22

From the calculation it can be seen that RS=QR

Since the two sides f the triangle are equal, hence the triangle is an isosceles triangle. An isosceles triangle is a triangle that has two of its sides equal

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