Subscribe to our ▶️ YouTube channel 🔴 for the latest videos, updates, and tips.
Altitude of an Equilateral Triangle is also a Median
Here we will prove that an altitude of an equilateral triangle is also a median.
In a ∆PQR, PQ = PR. Prove that the altitude PS is also a medina.
Solution:
Given in ∆PQR, PQ = PR and PS ⊥ QR.
To prove PS is a median, i.e., QS = SR
Proof:
|
Statement 1. In ∆PQS and ∆PRS, (i) PQ = PR (ii) PS = PS. (iii) ∠PSQ = ∠PSR = 90° 2. ∆PQS ≅ ∆PRS 3. QS = SR 4. PS is a median. (Proved) |
Reasons 1. (i) Given (ii) Common side. (iii) PS ⊥ QR. 2. By RHS criterion. 3. CPCTC. 4. PS bisects QR |
From Prove that an Altitude of an Equilateral Triangle is also a Median to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.