If pqr is an equilateral triangle and px is perpendicular to qr,find the value of PC square
Answers
Answer:
3 b ^2 / 4
Step-by-step explanation:
Given If pqr is an equilateral triangle and px is perpendicular to qr, to find the value of Px square.
Now in an equilateral triangle the perpendicular bisects into two triangles. So let one angle be b and the other angle be qr / 2 which is b/2 . So applying Pythagoras theorem we have
pq^2 = px^2 + qx^2
b^2 = px^2 + (b/2)^2
px^2 = b^2 - b^2 / 4
px^2 = 3 b^2 / 4
Answer:
Step-by-step explanation:
Given If pqr is an equilateral triangle and px is perpendicular to qr, to find the value of Px square.
Now in an equilateral triangle the perpendicular bisects into two triangles. So let one angle be b and the other angle be qr / 2 which is b/2 . So applying Pythagoras theorem we have
pq^2 = px^2 + qx^2
b^2 = px^2 + (b/2)^2
px^2 = b^2 - b^2 / 4
px^2 = 3 b^2 / 4