Concept explainers
To construct the
Explanation of Solution
Given:
The given criterion is ASA.
Calculation:
The triangle by ASA criterion can be constructed as follows-
Step 1- We are given the triangle as follows-
Step 2- Determine the measure of the third
Step 3- First draw the line BC and draw the angle B and angle C.
Step 4- Join all the points to get the triangle ABC as follows-
To construct the triangle by using the given criterion.
Explanation of Solution
Given:
The given criterion is SSS.
Calculation:
The triangle by SSS criterion can be constructed as follows-
Step 1- We are given the triangle as follows-
Step 2- Draw all the base line segment BC of given length.
Step 3- Now, at point B mark an arc of given length of second side.
Sep 4- similarly at point C mark an arc of given length of third side.
Step 4- Join all the points to get the triangle ABC as follows-
To construct the triangle by using the given criterion.
Explanation of Solution
Given:
The given criterion is HL.
Calculation:
The triangle by HL criterion can be constructed as follows-
The right triangle given the hypotenuse and the altitude of the hypotenuse can be constructed as follows-
Step 1- Draw the
Step 2- Drop the perpendicular to the hypotenuse from any point on the circle whose length equals to the altitude.
Step 3- Now, join all the three points.
Step 5- Join all the vertices to get the required right triangle.
Chapter 14 Solutions
Geometry For Enjoyment And Challenge
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