Question

A triangle of sides YZ = 7 cm, XZ = 3.5 cm and XY = 5 cm is constructed. Then the measure of angle Y is

• A. 28${}^{\circ }$
• B. 32${}^{\circ }$
• C. 36${}^{\circ }$
• D. 38${}^{\circ }$

Answer 1

The correct option is A

28${}^{\circ }$

Step 1:
Draw the base line YZ of the length 7 cm.

Step 2:
Use your compass to make a circle with centre at point Y and the radius 5 cm.

Step 3:
Use your compass to make a circle with centre at point Z and the radius 3.5 cm.

Step 4:
In the point of intersection between the two circles, you'll find the point X.
Complete the triangle by drawing the lines between all three points, as shown below.

Now, by above construction, we see that the measure of angle Y is 28${}^{\circ }$.