In triangle PQR, A and B are points on side QR such that they trisect QR. Prove that, ar( triangle PBR) = 0.5 ar( triangle PQB).

pls give the answer with steps...pls help me guys

Question

03-02-2022
Mathematics

Answered

Get detailed and accurate responses to your questions on IDNLearn.com. Discover thorough and trustworthy answers from our community of knowledgeable professionals, tailored to meet your specific needs.

In triangle PQR, A and B are points on side QR such that they trisect QR. Prove that, ar( triangle PBR) = 0.5 ar( triangle PQB).

pls give the answer with steps...pls help me guys

Sagot :

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Thank you for visiting IDNLearn.com. For reliable answers to all your questions, please visit us again soon.

Resuelve Los Siguientes Ejercicios De Molaridad.Calcular La Molaridad De Una Disolución De 380 Ml En La Que Están Disueltos 18 G De Cloruro Potásico (KCl). Dato

Complete This Story By Putting The Verbs In Brackets Into The Past Simple Or The Past Continuous.Sergeant Harris Left The Police Station At 6 P.m. He Was Walkin

PANUTO: Punan Ang MY FAMILY TREE. Gawin Ito Sa Malikhaing Paraan.MY FAMILY TREEISKOR:GrandmotherGrandfather Grandmother GrandfatherMeMotherFatherMy Brothers And

Solve The Following Expressions:[tex]\[ -8 \times (-5) = \][/tex][tex]\[ -16 \div 2 = \][/tex]

Which Of The Following Is NOT A Characteristic Of A Community?A. Impersonality B. A Common Geographical Area C. A Sense Of Identity D. Organized Activity

Nigel Tried To Solve An Equation Step By Step.[tex]\[ \frac{1}{2}(2h - 4) = 10 \][/tex]Step 1: [tex]\(2h - 4 = 20\)[/tex]Step 2: [tex]\(2h = 24\)[/tex]Step 3: [

Type The Correct Answer In Each Box.Given Angles: 50°, 60°, 50°The Value Of [tex]x[/tex] Is [tex]\boxed{70^\circ}[/tex], And The Value Of [tex]y[/tex] Is [tex]\

Part 1: Choose The Correct Answer For The Following Questions.1. The Primary Motive For A Business Combination Is: A) Increasing Market Share B) Reducing Co

Solve The Following System Of Equations:[tex]\[ \begin{cases} 3x + Y = 8 \\ 4x - Y = 6 \end{cases} \][/tex]

25. Which Of The Following Has The Right-of-way Over All Others At An Intersection When The Signal Light Is Green?1. Pedestrians Crossing With The Light2. Vehic

Sqdancefanidn Sqdancefanidn · Answer 1 · 2022-02-03T18:28:30-05:00

Explanation:

We assume the problem statement is telling us that the order of points on segment QR is Q, A, B, R, and that QA = AB = BR. This means that

QB = QA +AB = 2BR

BR = 1/2(QB)

The area of the triangles will be ...

A = 1/2bh

For triangle PQB, the area is ...

ar(PQB) = 1/2(QB)h . . . . . h is the perpendicular distance from QR to P

For triangle PBR, the area is ...

ar(PBR) = 1/2(BR)h = 1/2(1/2QB)h . . . . h is the same as above

ar(PBR) = 1/2ar(PQB)

__

Essentially, you're showing the base of the smaller triangle is 1/2 the base of the larger one and using that to show the area of the smaller triangle is 1/2 the area of the larger one. (Both have the same height.)

Sagot :

Other Questions