WebIn the given figure, DE ∥ CB. Determine AC and AE. Medium Solution Verified by Toppr Given In ACB,DE∥CB ∴∠ADC=∠ACB and ∠AED=∠ABC ADE∼ ACB (by AAA similarity ) ∴ACAD= … WebApr 9, 2024 · Complete step-by-step solution - Given a triangle ABC, D and E are the points on sides AB and AC respectively. Also, DE BC. Now in triangles ADE and ABC- ∠ D = ∠ B (As …
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WebIn fig., line BC line DE, AB = 2, BD = 3, AC = 4 and CE = x, then find the value of x 0 Maharashtra State Board SSC (Marathi Semi-English) 10th Standard [इयत्ता १० वी] WebIn the given figure, DE BC and DE : BC = 3 : 5. Calculate the ratio of the areas of ∆ADE and the trapezium BCED Advertisement Remove all ads Solution ∆ADE ~ ∆ABC. ∴ a r ( Δ A D E) a r ( Δ A B C) = D E 2 B C 2 = ( D E B C) 2 = ( 3 5) 2 = 9 25 Let ar (∆ADE) = 9x sq units Then, ar (∆ABC) = 25x sq units ar (trap. BCED) = ar (∆ABC) – ar (∆ADE)
WebMar 30, 2024 · Transcript. Question 5 In figure if AD = 6 cm, DB = 9 cm, AE = 8 cm and EC = 12 cm and ∠ ADE = 48° . Find ∠ ABC Let’s label the figure Here, 𝐴𝐷/𝐷𝐵 = 6/9 = 2/3 𝐴𝐸/𝐸𝐶 = 8/12 = 2/3 So, 𝐴𝐷/𝐷𝐵 = 𝐴𝐸/𝐸𝐶 We know that If line divides two sides of a triangle in same ratio then line is parallel to ... WebMay 15, 2024 · Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get …
WebFeb 23, 2024 · As DE BC, and angle A is common, triangle ADE ~ triangle ABC. AE = 8 cm, EC = 2 cm, AC = 8 + 2 = 10 cm As the both triangles are similar, Ratios of their respective … WebMar 29, 2024 · Example 5 Observe figure and then find P. Given: AB = 3.8 , PQ = 6 3 , BC = 6 , QR = 12 , AC = 3 3 , PR = 7.6 To find:- angle P i.e. P Solution:- in Let us find the ratio of sides / =3.8/7.6 = 38/76 = 1/2 / =(3 3)/(6 3)=1/2 / =6/12= 1/2 Thus, / = / = / (Using SSS similarity criterion) So , ~ Now we need to find P We know that corresponding ...
WebRequired to find AC. By using Thales Theorem, [As DE ∥ BC] AD/BD = AE/CE 4/4.5 = 8/AC AC = (4.5 × 8)/4 cm ∴AC = 9 cm vii) If AD = 2 cm, AB = 6 cm and AC = 9 cm, find AE. Solution: Given: AD = 2 cm, AB = 6 cm and AC = 9 cm Required to find AE. DB = AB – AD = 6 – 2 = 4 cm By using Thales Theorem, [As DE ∥ BC] AD/BD = AE/CE 2/4 = x/ (9–x) 4x = 18 – 2x
WebOct 7, 2024 · Best answer Given: AD = 4, DB =x – 4, AE = x – 3 and EC = 3x – 19 and DE BC Basic Proportionality theorem which states that if a line is drawn parallel to one side of a triangle the other two sides in distinct points, then the other two sides are divided in the same ratio. So, by basic proportionality theorem ⇒ 4 (3x – 19) = (x – 4) (x – 3) easymc launcher如何使用WebJun 28, 2024 · in figure de bc . if bd = x-3 and ab = 2x ce =x-2 and ac =2x+3. Find x - 18889330 easymc loginWebIn the figure, if BP CQ and AC= BC, then the measure of x is Solution In the figure, AC=BC, BP CQ ∵ BP CQ ∴ ∠P BC =∠QCD ⇒ 20∘+∠ABC =70∘ ⇒ ∠ABC =70∘ −20∘ =50∘ ∵ BC= AC ∴ ∠ACB=∠ABC (Angles opposite to equal sided) = 50∘ Now in ΔABC, Ext. ∠ACD=∠B+∠A ⇒ x+70∘ = 50∘+50∘ ⇒x+70∘ =100∘ ∴ x= 100∘−70∘ =30∘ Suggest Corrections 33 Similar … easy mc minecraft v1.1.0WebAlso, as AC = BC Using the property,”angles opposite to equal sides are equal”, we get ∠ABC = ∠CAB ∠ABC = 20° + x Further, using the property, “an exterior angle is equal to the sum of the two opposite interior angles” In ΔABC ext. ∠C = ∠CAB + ∠ABC 70° + x = 20° + x + 20° + x 70° + x = 40° + 2x 70° - 40° = 2x - x x = 30° Thus, x = 30° easymcp2221easymc version 1.4.1 downloadWebIn the given figure, DB⊥ BC, DE ⊥AB and AC ⊥BC. Prove that BE DE = AC BC. Solution In BED and ACB, we have: ∠BED = ∠ACB = 90° ∵ ∠B + ∠C = 180° ∴ BD ∥ AC ∠EBD = ∠CAB (Alternate angles) Therefore, by AA similarity theorem, we get: BED~ ACB ⇒ BE/AC = DE/BC ⇒ BE/DE = AC/BC This completes the proof. Suggest Corrections 107 Similar questions Q. easymcqsWebIn given ΔABC points D and E are mid points of AB and AC and also BC = 6 cm then find DE. asked Mar 23, 2024 in Triangles by AdvaitMogarkar (43.7k points) triangles; class-10; … easymc setup