Construction of Triangle using SSS Criteria
Construction of Triangle using SSS Criteria
Construction of Traingle using SSS Criteria: In SSS Triangle construction we need to know the length of all the three sides of the triangle. We will then draw arough sketch and will the decide the base of triangle
Let us suppose we have to construct a triangle ABC and we know the length of all the three sides AB, BC and AC, We will first draw the base then we will follow the steps of construction:
| Step 1: Draw a line BC of length given in the question. |  |
| Step 2 : Using a compass and keeping the pointer at B and radius equal to the length of AB draw an arc. |  |
| Step 3 : Using a compass and keeping the pointer at C and radius equal to the length of AC draw an arc intersecting the earlier arc and mark the point of intersection as A. |  |
| Step 4 : Join AB and AC. This ΔABC is the required triangle |  |
Illustration:Construct ΔXYZ in which XY = 4.5 cm, YZ = 5 cm and ZX = 6cm.
Step 1. Draw a line YZ of length 5 cm.
Step 2. From Y, point X is at a distance of 4.5 cm. So, with Y as center, draw an arc of radius 4.5 cm.
Step 3. From Z, point X is at a distance of 6 cm. So, with Z as center, draw an arc of radius 6 cm.
Step 4. X has to be on both the arcs drawn. So, it is the point of intersection of arcs. Mark the point of interaction of arcs as X. Join XY and XZ. ΔXYZ is the required triangle
An isosceles triangle can be obtuse angled. | |||
| Right Option : B | |||
| View Explanation | |||
The triangle formed by BC = 5 cm, AC = 3 cm, AB = 5.8 cm is _____________ | |||
| Right Option : D | |||
| View Explanation | |||
In a triangle ABC, if AB + BC = 10 cm, BC + CA = 12 cm, CA + AB = 16 cm, then the perimeter of the triangle is _______________ | |||
| Right Option : A | |||
| View Explanation | |||
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