In triangle XYZ, XY = 10 cm, XZ = 7 cm and angle YXZ = 50°. Put the steps for accurately drawing triangle XYZ in the correct order.

Question

In triangle XYZ, XY = 10 cm, XZ = 7 cm and angle YXZ = 50°. Put the steps for accurately drawing triangle XYZ in the correct order.

Asked on March 26, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

Accepted Answer · 2026-03-26T15:18:34.940Z

To accurately draw triangle XYZ with $XY = 10$ cm, $XZ = 7$ cm, and angle $YXZ = 50^\circ$, follow these steps: Step 1: Draw the base side. The first step is to draw the side XY with a length of $10$ cm. This corresponds to option C: "Draw side XY." Step 2: Measure the angle at point X. Next, place the protractor at point X to measure the angle $YXZ = 50^\circ$. This corresponds to option A: "Put the centre of a protractor on X. Mark $50^\circ$ from XY." Step 3: Draw the second side. Now, draw the side XZ. Place a ruler from point X through the $50^\circ$ mark and draw a line segment $7$ cm long. This point will be Z. This corresponds to option D: "Place a ruler between X and the $50^\circ$ mark. Draw a 7 cm line from X to Z." Step 4: Complete the triangle. Finally, connect point Y to point Z to complete the triangle. This corresponds to option B: "Draw side YZ." The correct order of steps is C, A, D, B.

Accepted Answer · 2026-03-26T15:18:34.940Z

To accurately draw triangle XYZ with $XY = 10$ cm, $XZ = 7$ cm, and angle $YXZ = 50^\circ$, follow these steps: Step 1: Draw the base side. The first step is to draw the side XY with a length of $10$ cm. This corresponds to option C: "Draw side XY." Step 2: Measure the angle at point X. Next, place the protractor at point X to measure the angle $YXZ = 50^\circ$. This corresponds to option A: "Put the centre of a protractor on X. Mark $50^\circ$ from XY." Step 3: Draw the second side. Now, draw the side XZ. Place a ruler from point X through the $50^\circ$ mark and draw a line segment $7$ cm long. This point will be Z. This corresponds to option D: "Place a ruler between X and the $50^\circ$ mark. Draw a 7 cm line from X to Z." Step 4: Complete the triangle. Finally, connect point Y to point Z to complete the triangle. This corresponds to option B: "Draw side YZ." The correct order of steps is C, A, D, B.