Suppose three points in a plane are defined as:  A ≔ (–3, –5) B ≔ (–10, 19) and C ≔ (6, 7)  where all lengths are measured in centimeters.  1) Plot and label all three points on the same set of axes.    2) Draw line segments between each pair of points to form the triangle ABC.    3) Find the lengths of each of the sides.    4) Find the area of the triangle

Question

 

 Suppose three points in a plane are defined as: 

A ≔ (–3, –5) B ≔ (–10, 19) and C ≔ (6, 7) 

where all lengths are measured in centimeters. 

1) Plot and label all three points on the same set of axes. 

 

2) Draw line segments between each pair of points to form the triangle ABC

 

3) Find the lengths of each of the sides. 

 

4) Find the area of the triangle. 

 

5) Determine if it is a right triangle and if so, which angle is the right angle? 

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Geometry

Coordinate Geometry

Related Geometry Q&A

Find answers to questions asked by students like you.

Q: What is the image of the point (-7,-3) after a rotation of 90 counterclockwise about the origin?

A: Click to see the answer

Q: 22 What is the circumference of the circle? Use 7 for g. r= 21 cm O 44 cm O 66 cm 132 cm O 154 cm O ...

A: Given:   Similar to circle sphere is a two dimensional space where the set of points that are at the...

Q: Triangle XYZ with vertices X(0, 0), Y(0, -2), and Z(-2, -2) is rotated to create the image triangle ...

A: Given:Triangle:X0,0Y0,-2Z-2,-2Image Triangle:X'0,0Y'2,0Z'2,-2

Q: The graph of a function f is given. Frm 3 2 Let F(x) = So f(t) dt then for 0<x<2 F(x) is: O A) incre...

A: Click to see the answer

Q: Find the are and perimeter (measures in cm)

A: given the length of vertex to centroid = 18 cm

Q: Choose the correct statement below regarding the relationship of two lines. Two lines are perpendicu...

A: Two lines are perpendicular if the linear pair of angles formed bewteen them sums upto to exactly 18...

Q: Find the equation of the line which passes through the intersection of the line 3x-5y+9=0 and 4x+7y-...

A: Click to see the answer

Q: If DE = 4x – 1, EF = 9, and DF = 9x - 22 , find the value of x. F E

A: Given,            DE=4x-1 , EF=9 and  DF=9x-22          

Q: in parallelogram drew the length of side Dr is represented by a 9x - 5 and the length of side w is r...

A: Given,          In parallelogram drew the length of side Dr is represented by a 9x-5 and the length ...

Q: G bisects the line segment KW. Find KW.KG = 13x+10GW = 30x-41

A: Click to see the answer

Q: as bisects ZPOR. Find the angle measures. 6. Find MLSQR and MLPOR. 7. Find MLPQS and MZSQR. 121

A: 6)Given, QS→ bisects ∠PQR Find m∠SQR and m∠PQR Given, m∠PQS=11° QS→ divides m∠PQR  into two so we g...

Q: The radii of the bases of two right circular solid cones of same height are r1 and r2 respectively. ...

A: Given, the radii of the bases of two right circular solid cones of the same height are r1 and r2 res...

Q: 3. 35 C = 4. 31 d = 27° C

A: we know that sum of angle in a triangle is 180∘ so, in part c 35∘+27∘+c=180∘c=180∘-35∘-27∘c=118∘

Q: Find the coordinates of the vertices of quadrilateral QRST. The coordinates of the vertices are: Q (...

A: Click to see the answer

Q: In parallelogram BCDE shown below, find the m/CDE. B. 55° 62 E D 62° O 63° 65° 55° OO OO

A: Given that,∠BCD = 55°∠BDE = 62°∠CDE = ∠BDE+∠CDB∠CDE = 62°+∠CDBIn a parallelogram, the sum of adjacen...

Q: Rectangle A measures 9 inches by 3 inches. Rectangle B is a scaled copy of Rectangle A. Select all o...

A: Length of rectangle A = L = 9 inchesBreadth of rectangle A = B = 3 inchesLet, Length of rectangle B ...

Q: Here is a diagram of a straightedge and compass construction. C is the center of one circle, and B i...

A: Given: In the given diagram, C is the centre of the larger circle and B is the centre of the smaller...

Q: the angle of inclination from the base of skyscraper A to the top of the skyscraper B is approx 10.6...

A: We have, the angle of inclination from the base of skyscraper A to the top of the skyscraper B is ap...

Q: Find the area of a sector of a circle with radius 6 cm if angle of the sector is 600

A: Click to see the answer

Q: #39

A: Click to see the answer

Q: Given m || n, find the value of x and y. т (5x+9)° (y+20)° n (4x+17)° X = y = Submit Answer

A: Consider the given information. The vertical opposite angles are equal and the alternate interior an...

Q: In the figure, ray MO bisects ZLMN, MLLMO = (13z - 31), and MZNMO = (x + 53)°. Find the following. %...

A: We have to find value of x, m&lt;LMO and m&lt;LMN where, m&lt;LMO=13x-31°m&lt;NMO=x+53° Given figure...

Q: 6.If two sides of a triangle are 1 and 3, the third side may be: (a) 5 (b) 2 (c) 3 (d) 4

A: We have to find third side when two sides are given as 1 and 3 We know that in any triangle sum of t...

Q: Need step by step to find the area of the region enclosed by the curve Find the area of the region(s...

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: In the figure below, parallel lines I and m are intersected by transversal p. If the measule of 21 i...

A: the figure is given. the lines l and m are parallel lines and intersected by the transversal p. the ...

Q: I need help with this ones please :)

A: Since you have asked a question with multiple question in a single request, we would be answering on...

Q: Problem

A: The test for symmetry about the origin combines elements from the first two tests. Test for symmetry...

Q: find the missing angles

A: Given: Angle 32°.

Q: Look at the "mountaintop" in the image of on the graph below. -2 -12 How many tangent lines do you t...

A: The given figure is a surface with function Z =f(x , y). First, determine the critical point. For th...

Q: Order the angles from least to greatest 44 ft 29 ft A 50 ft C Smal Medum Large O o

A: Concept - Angles to opposite to smaller sides are smaller.Angles opposite to larger sides are larger...

Q: Answer for 6?

A: Click to see the answer

Q: What is the length of AC? R 4 A 15

A: Click to see the answer

Q: Help please

A: Given: Triangles ABC and DEF are congruent. To determine:  1. The angle of DEF that corresponds to ∠...

Q: find the equation of  the perpendicular biceptor of the segment joining (4,2) and (-2, 6).

A: Let ( x1,y1) and ( x2,y2) be (4,2) and (-2,6) respectively