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Question
Two angles of the triangle are given. Find the third angle.
75°, 35°
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Solution
75°, 35°
Let the third angle be x
Sum of the angles 180°
75° + 35° + x = 180°
110 + x = 180°
x = 180° – 110°
x = 70°
Third angle = 70°
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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° |
Is a triangle possible with the angles 90°, 90° and 0°? Why?
If one angle of an isosceles triangle is 70°, then find the possibilities for the other two angles
Study the given figure and identify the following triangles.
(a) equilateral triangle
(b) isosceles triangles
(c) scalene triangles
(d) acute triangles
(e) obtuse triangles
(f) right triangles
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. |
