Question

two equal sides of triangle are each 5 meters less than the third side.If the perimeter of the triangle is 55 meters,find the lengths of its sides​

Answer 1

Given :-

• Two equal sides of triangle are each 5 meters less than the third side.If the perimeter of the triangle is 55 meters.

To Find :-

• The lengths of sides of traingle.

Answer :-

• The sides are 13 meter ,21 meter ,21 meter.

Explaination :-

• Let the Length of the third side be x
• and then Length of congruent sides are 2x - 5.

★ According to Question :

→ Perimeter = Sum of all three sides

→ 55 = (2x - 5) + (2x - 5) + x

→ 55 = 5x - 10

→ 55 + 10 = 5x

→ 65 = 5x

→ x = 65 ÷ 5

→ x = 13

Hence,

• The Length of the third side = x = 13 m
• The congruent side Length are = 2x - 5 = 2(13) - 5 = 26 - 5 = 21 m

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Extra Shots :-

• Volume of cylinder = πr²h
• T.S.A of cylinder = 2πrh + 2πr²
• Volume of cone = ⅓ πr²h
• C.S.A of cone = πrl
• T.S.A of cone = πrl + πr²
• Volume of cuboid = l × b × h
• C.S.A of cuboid = 2(l + b)h
• T.S.A of cuboid = 2(lb + bh + lh)
• C.S.A of cube = 4a²
• T.S.A of cube = 6a²
• Volume of cube = a³
• Volume of sphere = 4/3πr³
• Surface area of sphere = 4πr²
• Volume of hemisphere = ⅔ πr³
• C.S.A of hemisphere = 2πr²
• T.S.A of hemisphere = 3πr²

Answer 2

⇨GIVEN

• two equal sides of triangle are each 5 meters less than the third side.If the perimeter of the triangle is 55 meters.

⇨TO FIND

• find the lengths of its sides.

⇨ANSWER

• Length of Equal Side = 21 m
• length of third side = 13 m

⇨SOLUTION

let the third side of ∆ = X

Two equal sides = (2x-5) meter.

Perimeter of ∆ = 55 m

perimeter of ∆ = addition of three sides.

55 = X+(2x-5) + (2x-5)

55 = x+2x -5 + 2x-5

55 = 5x-10

55+10 = 5x

65 = 5x

$\frac{ \cancel{65} \: \: 13}{ \cancel5 \: \: 1}$

x = 13

Hence,

Length of Equal Side = 2x - 5 = 2X13-5 = 21 m

length of third side = 13 m

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☯EXTRA MATHS

✏What is Triangle?

• A triangle is a three-sided polygon.

• The three sides and three angles of triangle is known as six elements of the triangle.

• The region inside the boundary of a triangle is known as interior region.

• The region outside the boundary of a triangle is known as exterior region.

• The interior region along with the boundary is known as triangular region.

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✏CLASSIFICATION OF TRIANGLES

Based on sides.

✑Scalene Triangle

• All the three sides are of different lengths.

✑Isosceles Triangle

• Two sides are of the same length.

✑Equilateral Triangle

• All three sides are of the same length.

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Based on angles.

✑Acute-angled triangle

• All the angles are less than 90° .

✑Right-angled triangle

• One of the angles 90°.

✑Obtuse-angled triangle

• One of the angle is more than 90°.