Construct a triangle XYZ where YZ=4cm,ZX=4cm,YX=5cm and triangle XYZ=60°
Your triangle is overdetermined. Three sides, which are given, fully define the triangle, which in your case is isosceles. The apex angle imust be 2*sin^-1 (2.5/4) = 77.36 degrees, and the other two angles are
(1/2)(180-77.36) = 51.32 degrees
Bukklkdft
=51.31
Construct a triangle XYZ in which XY=5cm,<X=60 degree and sum of other two sides is 7.6cm
To construct a triangle XYZ with the given conditions, follow these steps:
Step 1: Draw a straight line segment XY of length 5cm. This will be the base of the triangle.
Step 2: From point X, draw an arc with a radius of 4cm. Label the point where the arc intersects XY as point Z.
Step 3: From point Y, draw an arc with a radius of 4cm. Label the point where the arc intersects XY as point Z'.
Step 4: Draw a straight line segment YZ connecting points Y and Z.
Step 5: Draw a straight line segment YZ' connecting points Y and Z'.
Step 6: Measure the angle XYZ using a protractor. If it does not measure exactly 60°, adjust the position of Z and Z' until the angle measures 60°.
Step 7: Once you have the correct angle, erase the arcs and label the triangle as XYZ.
By following these steps, you will construct a triangle XYZ with sides YZ = 4cm, ZX = 4cm, YX = 5cm, and angle XYZ = 60°.