Question

Construct a triangle ABC given that ∠A = 45⁰ ,∠B =90⁰ and AB+ BC+CA =14cm.write the measurements of the 3 sides of the triangle.​

Answer 1

Answer:

Steps of construction

1. Draw a line segment AB of length 5.8cm.

2. Draw a line segment BX, sufficiently large such that ∠ABX=60

∘

.

3. From the segment BX, cut off line segment BD of length 8.4cm.

4. Join AD.

5. Draw the perpendicular bisector of AD and let it meet BD at C.

6. Join AC.

Then ABC is the required triangle.

Answer 2

Step-by-step explanation:

from the figure

x+x+sqrt2 x=14

x(2+sqrt2) =14

x =4

4,4, 2.83