Construction of Triangle using ASA Criteria
Construction of Triangle using ASA Criteria
Construction of Triangle using ASA Criteria: We can construct a triangle using ASA criteria only when the given side must necessarily be the one that is enclosed by the given angles . For Example if we are given the two angles as ∠CAB and ∠BCA the the side that is given should be BC. Let us say, in a triangle ABC, the measures of the angles are ∠CAB = 45 degrees and ∠ABC = 60 degrees. The length of side AB = 3cm.
To construct a triangle when two of its angles,say B and C, and the included side BC are given,we proceed as follows :
| Step 1 : Draw a line segment BC. |  |
| Step 2 : Draw ∠CBX of measure equal to that of ∠B. |  |
| Step 3 : Draw ∠BCY with Y on the same side of BC as X, such that its measure is equal to that of ∠C. |  |
| Step 4 : Let BX and CY intersect at A. Then, ΔABC is the required triangle. |  |
Example : Construct a ΔABC in which BC = 6 cm, ∠B = and ∠C =
.
Step 1 : Draw a line segment BC = 6 cm.
Step 2 : Draw ∠CBX, such that ∠CBX =
Step 3 : Draw ∠BCY with Y on the same side of BC as X such that ∠BCY =
Step 4 : Let BX and CY intersect at A. ΔABC is the required triangle.
If the angles of a triangle are in the ratio 1 : 2 : 7 then the triangle is _____________ | |||
| Right Option : B | |||
| View Explanation | |||
If two angles in a triangle are | |||
| Right Option : A | |||
| View Explanation | |||
A triangle has _______________ | |||
| Right Option : C | |||
| View Explanation | |||
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