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Question
The diagram shows a square ABCD. If the line segment joins A and C, then mention the type of triangles so formed.
Solution
For a square all sides are equal and each angle is 90°.
∆ABC and ∆ADC are isosceles right−angled triangles.
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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° |
If two sides of a triangle are 5 cm and 9 cm, then the third side is ________
Which of the following is not possible?
State the following statement is true or false? Why?
Every equilateral triangle is an isosceles triangle
State the following statement is true or false? Why?
Every isosceles triangle is an equilateral triangle
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. |
