WebABC is an isosceles triangle with AB = AC and BD and CE are its two medians. Show that BD = CE. Solution: Given, ABC is an isosceles triangle. AB = AC. BD and CE are the medians. We have to show that BD = CE. CE is the median implies that E is the midpoint of AB. AB = AE + BE. So, AB = 2AE ----- (1) Web(i) In ΔAEB and ΔAFC, ∠A = ∠A .....[Common] ∠AEB = ∠AFC = 90° .....[Given: BE ⊥ AC] Given: CF ⊥ AB] AB = AC .....[Given] ∴ BE = CF .....[C.p.c.t] (ii ...
In an isosceles ∆ABC with AB=AC, D and E are points on BC
WebIn ∆ABC, line DE is parallel to line AC. D is the midpoint of line AB and E is the midpoint of line BC. Example 5: Applying the Triangle Proportionality Theorem. In ∆ABC, line DE is … WebDec 2, 2024 · How long is AC, if CH = 84 cm and m ... 12/02/2024 Mathematics High School answered • expert verified ∆ABC is isosceles, AB = BC, and CH is an altitude. How long is AC, if CH = 84 cm and m∠HBC = m∠BAC +m ... A karate studio owner wants to make a representation that shows the ages of all students at his studio, which offers ... mifflin middle school pa
ML Aggarwal Class 9 Solutions for ICSE Maths Chapter 10 Triangles
WebAug 14, 2024 · Prove that ∆ABC is an isosceles triangle. Solution: Given: A triangle ABC in which a line parallel to side BC intersects other two sides AB and AC at D and E respectively. ⇒ AB = AC (As DB = EC) ∴ ∆ABC is an isosceles triangle. Question 12. In Fig. 7.46, ABD is a triangle right-angled at A and AC ⊥ BD Show that (i) AB 2 = BC. BD WebSep 9, 2024 · Question 1. Find the measure of each exterior angle of an equilateral triangle. Solution: We know that each interior angle of an equilateral triangle is 60°. ∴ Each exterior angle = 180° – 60° = 120°. Question 2. If in ∆ABC, ∠A = ∠B + ∠C, then write the shape of the given triangle. Solution: Here, ∠A = ∠B + ∠C. WebMar 22, 2024 · Transcript. Ex 7.2,1 In an isosceles triangle ABC, with AB = AC the bisectors of ∠𝐵 and ∠C interest each other at O . Join A to O. show that : OB = OC Given: … newtown hotel toowoomba