the line x + y = p meets the x-axis of x and y at A and B respectively - Maths - Straight Lines

Question

the line x + y = p meets the x-axis of x and y at A and B
respectively a triangle APQ is inscribed in the triangle OAB, O
being the origin , with right angle at Q, P and Q lie respectively
on OB and AB if the area of the triangle APQ is 3/8th of
the area of the triangle is what?

Shivam Mishra · Accepted Answer

Dear Student,
Please find below the solution to the asked
query:â€‹

x+y=px/p+y/p=1

Length of X-axis intercept=p

Length of Y-axis intercept=p

Area of△OAB=1/2×X-axis intercept×Y-axis intercept

Area of△OAB=1/2×p×p= p2/2 unit2

Given thatArea of△APQ=3/8×Area of△OAB⇒Area of△APQ=3/8×p2/2⇒Area of△APQ=3/16p2 unit2

â€‹

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the line x + y = p meets the x-axis of x and y at A and B respectively . a triangle APQ is inscribed in the triangle OAB, O being the origin , with right angle at Q, P and Q lie respectively on OB and AB . if the area of the triangle APQ is 3/8th of the area of the triangle is what?

the line x + y = p meets the x-axis of x and y at A and B respectively . a triangle APQ is inscribed in the triangle OAB, O being the origin , with right angle at Q, P and Q lie respectively on OB and AB . if the area of the triangle APQ is 3/8^th of the area of the triangle is what?