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Standard VII
Mathematics
Construction of Triangles: Right Angle Triangle When 1 Side and Hypotenuse Are Given
To draw a rig...
Question

To draw a right angled triangle whose hypotenuse measures 5 cm and the length of one of the sides containing the right angle is 3 cm, the steps of construction are given below.

Steps of construction:
Step 1: Draw a line segment BC=5 cm
Step 2: Find the mid –point O of BC
Step 3 will be


A
Taking B as centre and radius equal to 4 cm,draw an arc,cutting the semi-circle at A.
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B
Taking O as centre and radius OB, draw a semi-circle on BC.
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C
Taking O as centre and radius equal to 3 cm , draw a semi-circle on BC
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D
Join AB and AC
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Solution

The correct option is B Taking O as centre and radius OB, draw a semi-circle on BC.
Taking O as centre and radius OB, draw a semi-circle on BC.

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Q.

Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle. Give the justification of the construction.

Q. To draw a right angled triangle whose hypotenuse measures 5 cm and the length of one of the sides containing the right angle is 3 cm, the steps of construction are given below.

Steps of construction:
Step 1: Draw a line segment BC=5 cm
Step 2: Find the mid –point O of BC
Step 3 will be


Q. Length of sides of a △ABC is AB=5 cm, AC=3 cm and BC=4 cm. If the construction of the triangle formed by these three sides include following steps, then answer the following question:
Which of the following step is not a part of construction?
Steps of construction:
Step 1. Draw a line segment AB=5 cm
Step 2. Assuming A a centre draw an arc of radius 3 cm
Step 3. Now assuming B as centre draw an arc of 4 cm intersecting the previous arc at C.
Step 4. Now join A to C and B to C.

Q. The steps to construct triangle ABC with sides AB=5 cm,BC=4.3 cm, and AC=4 cm are given below. Choose the correct order of the steps.

1. With A as the center and a radius of 4 cm, draw an arc.
2. Draw a line segment that is sufficiently long using a ruler.
3. Join AC and BC.
4. Taking B as the center and a radius of 4.3 cm, draw another arc cutting the previous arc at C.
5. Locate points A and B on it such that AB=5 cm.

Q. To construct a trapezium ABCD with AB∥CD, AB = 8 cm, BC = 5 cm, AD = 6 cm and ∠ABC=60∘, we follow the following steps:
1) Draw the line segment AB = 8 cm.
2) Construct the angle ∠ABX=60∘ at B.
3) With B as centre, draw an arc of radius 5 cm cutting BX at C.

The next step is ___.
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Construction of Triangles: Right Angle Triangle When 1 Side and Hypotenuse Are Given
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