Draw a triangle of sides 4cm 5cm 6cm and draw an isosceles triangle with same base and area
Answers
Answer:
Triangle is constructed
Step-by-step explanation:
Step 1 : Draw a line segment AB = 6 cm using ruler
Step 2 : Using compass and taking A as center draw an arc with radius = 5cm
Step 3 : again using compass & taking B as center & radius = 4 cm , draw an arc such that it intersect earlier arc at point C
Step 4 : Join AC & BC
Triangle is constructed
To draw an isoscelles triangle of same area
Keeping Base = AB = 6 cm
Using Compass Draw pependicular bisector of AB
Now Draw a Line Parallel to AB passing through C
Paralle line passing through C cut Perpendicualr bisector at point D
Join AD & BD
Triangle ABD is isoscelles triangle with Same area as Triangle ABC
Step-by-step explanation:
To make a triangle of sides 4cm,5cm, and 6cm.
Step 1: Using the ruler, draw a line segment measuring AB = 6 cm.
Step 2: Draw an arc with a radius of 5 cm using a compass with A as the center.
Step 3: Draw an arc with a compass once more, using B as the center and a radius of 4 cm, such that it crosses the previous arc at point C.
Step 4: Construct the triangle by joining AC and BC.
To make an isosceles triangle with the same area,
Step 1: Base = AB = 6 cm
Step 2: Draw the perpendicular bisector of AB using a compass.
Step 3: Draw a line that is parallel to AB and goes through C.
Step 4: When a parallel line passes through point C, it cuts a perpendicular bisector at point D.
Step5: Connect AD & BD
∴ Δ ABC has the same area as Δ ABD, which is an isosceles triangle.
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