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These solutions for Theorems On Triangles are extremely popular among Class 8 students for Math Theorems On Triangles Solutions come handy for quickly completing your homework and preparing for exams. Equilateral triangle. Acute angled triangle. Right angled triangle. Obtuse angled triangle. In the adjacent triangle ABC , find the value of x and calculate the measure of all the angles of the triangle. The angles of a triangle are arranged in ascending order of their magnitude. Find the angles of the triangle.
Thus, the angles of the triangle are. Fill up the blanks to make the following statements true:. Find the other angles of the triangle. Choose the correct answer from the given alternative:. In a triangle ABC , we have:. Correct Option: A. In triangle ABC , we have:. Correct Option: B. Correct Option: C. The sum of three exterior angles of triangle is four right angles. Correct Option: D. If three angles of a triangle are in the ratio 2: 3: 5, determine three angles.
The angles of triangle are arranged in ascending order of magnitude. The sum of two angles of a triangle is equal to its third angle. Determine the measure of the third angle. Find the value of x. Let the angles of the triangle be x , y and z. According to the given information, triangle ABC can be drawn as shown below.
In a triangle, each of the smaller angles is half the largest angle. Find the angles. Let the smaller angles be x. Then the largest angle will be 2 x.
In a triangle, each of the bigger angles is twice the third angle. Let each of the bigger angles measure 2 x. Then the measure of the smallest angle will be x. Suppose BC is extended to D. In an isosceles triangle, he vertex angle is twice the sum of the base angles.
The base angles of an isosceles triangle are equal. Let the measure of each base angle be x. Page No Question 1: Match the following: 1 a Equilateral triangle 2 b Acute angled triangle 3 c Right angled triangle 4 d Obtuse angled triangle.
Answer: 1 c Explanation: The given triangle has a right angle. Question 2: Based on the sides, classify the following triangles figures not drawn to the scales :.
Answer: i It is a scalene triangle since all three sides have different lengths. Question 4: The angles of a triangle are in the ratio Determine the three angles. Question 5: In the adjacent triangle ABC , find the value of x and calculate the measure of all the angles of the triangle.
Question 6: The angles of a triangle are arranged in ascending order of their magnitude. Question 3: Compute the value of x in each of the following figures:. Question 6: Find the sum of all the angles at the five vertices of the adjoining star.
Answer: The given figure of a star is shown below. Question 2. Answer: The sum of three exterior angles of triangle is four right angles Correct Option: D.
Question 5: If three angles of a triangle are in the ratio 2: 3: 5, determine three angles. Question 6: The angles of triangle are arranged in ascending order of magnitude. Question 7: The sum of two angles of a triangle is equal to its third angle. Answer: Subtracting 2 from 1 , we get: Subtracting 4 from 3 , we get:. Answer: Let the angles of the triangle be x , y and z. Adding the two equations, we get:. Answer: According to the given information, triangle ABC can be drawn as shown below.
Question In a triangle, each of the smaller angles is half the largest angle. Answer: Let the smaller angles be x. Question In a triangle, each of the bigger angles is twice the third angle. Answer: Let each of the bigger angles measure 2 x. Question In an isosceles triangle, he vertex angle is twice the sum of the base angles. Answer: The base angles of an isosceles triangle are equal.
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