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Question
State the following statement is true or false? Why?
Every equilateral triangle is an isosceles triangle
Options
True
False
Solution
True
Explanation;
In an equilateral triangle, all three sides are equal.
It can be an isosceles triangle also, which has two sides equal.
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Using the given information, write the type of triangle in the table given below
| S.No | ∠1 | ∠2 | ∠3 | Type of triangle based on angles | Type of triangle based on sides |
| i. | 60° | 40° | 80° | Acute angled triangle. | Scalene Triangle |
| ii. | 50° | 50° | 80° | ||
| iii. | 45° | 45° | 90° | ||
| iv. | 55° | 45° | 80° | ||
| v. | 75° | 35° | 70° | ||
| vi. | 60° | 30° | 90° | ||
| vii. | 25° | 64° | 91° | ||
| viii. | 120° | 30° | 30° |
The diagram shows a square ABCD. If the line segment joins A and C, then mention the type of triangles so formed.
State the following statement is true or false? Why?
Every isosceles triangle is an equilateral triangle
Two sides of the triangle are given in the table. Find the third side of the triangle.
| SI. No. | Side - 1 | Side - 2 | The length of the third side (any three measures) |
| i. | 7 cm | 4 cm | |
| ii. | 8 cm | 8 cm | |
| iii. | 7.5 cm | 3.5 cm | |
| iv. | 10 cm | 14 cm |
Complete the following table:
| Types of Triangle/Its Angles | Acute angled triangle | Right angled triangle | Obtuse angled triangle |
| Any two angles | Always acute angles | i. | Always acute angles |
| Third angle | ii. | Right angle | iii. |
