Construct `triangleXYZ` in which `angleY=30^(@)`, `angleZ=60^(@)` and XY + YZ + ZX = 10 cm.

Construct a triangle ABC, in which angleB =60^(@),angleC=45^(@) and AB + BC + CA = 11 cm.

Construct trianglePQR in which QR = 8 cm, angleQ=60^(@) and PQ − PR = 3.5 cm

Construct triangleABC in which BC = 7 cm, angleB=75^(@) and AB + AC = 12 cm.

Construct triangleABC in which BC = 5cm, angleB=45^(@) and AC − AB = 1.8 cm.

Construct Delta ABC in which BC = 4.2 cm, angleB = 30^(@) and AB − AC = 1.6 cm

Can you construct a triangle ABC with BC = 6 cm, angleB=60^(@) and AB + AC = 5cm.? If not, give reasons.

Construct a trianglePQR in which the base PQ=4.5 cm, angleR=45^(@) and the median from R to RG is 6cm.

Construct a Delta PQR in which QR= 5 cm, P=40^(@) and the median PG from P to QR is 4.4 cm. Find the length of the altitude from P to QR.

In Delta XYZ, angle y = 90^(@), angle Z = a^(@), angle x = (a + 30 ^(@)). If XZ = 24 "find" XY "and" YZ .