Question

Draw a diagram for the following:

a. Acute isosceles$\mathbf{\Delta }\mathit{X}\mathit{Y}\mathit{Z}$.

b. obtuse isosceles $\mathbf{\Delta }\mathit{X}\mathit{Y}\mathit{Z}$.

Short answer

a. The diagram is

b. The diagram is

Step-by-step solution

Part a. Step 1. Draw the diagram.

Acute angles measure less than 90 degrees.

An isosceles triangle has two equal sides.

Part a. Step 2. Step description.

The diagram is as follows:

Part a. Step 3. Step description.

From the figure, the triangle has two equal sides and all the angles are less than 90 degrees.

Part b. Step 1. Draw the diagram.

Obtuse angles measure greater than 90 degrees.

An isosceles triangle has two equal sides.

Part b. Step 2. Step description.

The diagram is as follows:

Part b. Step 3. Step description.

From the figure, the triangle has two equal sides and an angle greater than 90 degrees.