Answer:
Part 1). 1st option is correct.i.e., more than one
Part 2). 3st option is correct.i.e., none
Part 3). 3st option is correct.i.e., one
Part 4). 1st option is correct.i.e., none
Step-by-step explanation:
Part 1).
Given Measures of angles are 10° , 80° and 90°
To find: No of triangles with these measurements
Since We dont know the measurement of sides of the triangle.
Therefore, More than one right angled triangle possible with different values of sides.
Part 2).
Given: Measures of side 15 cm , 7 cm , 5 cm
To find: No. of Triangles possible with given measurements.
Since we that sum of two sides of triangle must be greater than 3rd side of triangle. than a triangle is possible.
but, 7 + 5 < 15
Therefore, None Triangle possible with given measurements.
Part 3).
Given: Measurement of sides of a triangle 1 m , 2 m , 2 m
To find: No. of Triangles possible with given measurements.
Here, sum of two sides of triangle is always greater than 3rd side of triangle. So, triangle is possible.
We are given with fixed values of sides of triangle.
Therefore, only one triangle is possible with given measurements.
Part 4).
Given: Measure of 3 equal angles = 63°
To find: No. of Triangles possible with given measurements.
Since we know Triangle is only possible if sum of all angles is 180°
here, 63° + 63° + 63° = 189° ≠ 180°
Therefore, None triangle is possible.
