Han and Priya were making a kite. Han cut out a piece of fabric so

that there were 2 short sides of the same length on top and

2 long sides of the same length on the bottom. Priya cut 2 pieces

of wood to go across the diagonals of the kite. They attached the

wood like this:

Han asked Priya to measure the angle to make sure the pieces of

wood were perpendicular. Priya said, "If we were careful about

the lengths of the sides of the fabric, we don't need to measure

the angle. It has to be a right angle."

Complete Priya's explanation to Han.

Question

01-12-2021
Mathematics

contestada

Han and Priya were making a kite. Han cut out a piece of fabric so

that there were 2 short sides of the same length on top and

2 long sides of the same length on the bottom. Priya cut 2 pieces

of wood to go across the diagonals of the kite. They attached the

wood like this:

Han asked Priya to measure the angle to make sure the pieces of

wood were perpendicular. Priya said, "If we were careful about

the lengths of the sides of the fabric, we don't need to measure

the angle. It has to be a right angle."

Complete Priya's explanation to Han.

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olayemiolakunle65 olayemiolakunle65 · Answer 1 · 2021-12-08T11:48:22+01:00

A kite is a quadrilateral which has two equal adjacent sides. Therefore measuring the lengths accurately would make the pieces of wood perpendicular. Since the diagonals of a kite are at right angle to each other.

Quadrilaterals are shapes which has four straight sides. Examples are; square, trapezium, kite, rectangle etc.

A kite is a shape which has adjacent sides to have equal lengths. It has two diagonals, and one line of symmetry.

The lengths of the sides of the fabric being exact imply that the pieces of wood would be perpendicular as suggested by Priya when fixed appropriately to the piece of fabric. This is because the diagonals of a kite are always perpendicular. Thus measuring the angles as suggested by Han is not necessary.

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oladayoademosu oladayoademosu · Answer 2 · 2021-12-08T12:02:30+01:00

The 2 pieces of wood intersect at right angles if the length of sides of the fabric are measured correctly.

Since Priya said to Han that "If we were careful about the lengths of the sides of the fabric, we don't need to measure the angle. It has to be a right angle."

Priya used the properties of a kite.

Since from the properties of a kite, two pairs of sides are equal. Also, since thes two pairs of sides are equal, the diagonals from the vertices of the kite intersect at right-angles.

So, as Priya said to Han, the angle made by the 2 pieces of wood have to be right angles if the sides are measured correctly, since the diagonals intersect at right angles.

So, the 2 pieces of wood intersect at right angles if the length of sides of the fabric are measured correctly.

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