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Each of the equal sides of an isosceles triangle is 5 cm greater than the base. The perimeter is 46 Centimeters. What is the length of each side of the triangle?
a is one of the equal sides of the iscosceles triangle
b is the base
perimeter is a + a + b = 46cm
a = b + 5cm
subsitute a for b + 5cm in the perimeter equation
b + 5cm + b + 5cm + b = 46cm
This simplifies down to 3b + 10cm = 46cm
subtract 10cm from both sides of the equation
3b + 10cm - 10cm = 46cm - 10cm
3b = 36cm
Then divide each side of the equation by 3
3b ÷ 3 = 36cm ÷ 3
b = 12cm
Subsitute b back into a = b +5cm
a = 12cm + 5cm
a = 17cm
So you have 2 sided with the length of 17cm and the base with the length of 12cm
What else can I help you with?
What is the perimeter of a triangle that has a area of 6.5 cm?
The minimum perimeter is when the triangle is an equilateral triangle. The perimeter of any other triangle with the same area will be longer. In the case of an equilateral triangle area = (√3)/4 × side² → side = √(4×6.5 cm²/√3) → perimeter = 3 × side = 3 × √(4×6.5 cm²/√3) ≈ 11.62 cm → The triangle has a perimeter greater than or equal to approx 11.62 cm.
Can a rectangle have a greater perimeter and also have a greater area?
Of course, a rectangle can have a greater perimeter and a greater area. Simply double all the sides: the perimeter is doubled and the area is quadrupled - both bigger than they were.
Can Isosceles triangles be acute or obtuse?
Acute.
Can a scalene triangle have sides measuring 8 feet 8 centimeters and 8 inches?
Yes. It is the measures of the three sides that need to be equal not simply the numbers in different units. So a triangle of with sides of 1 yard, 3 feet and 36 inches would be equilateral even though the 3 numbers are different.
Which greater 6 meters or 700 centimeters?
700 centimeters. There are 100 centimeters to every meter, thus, 700 centimeters is 7 meters. 7 meters is greater than 6 meters.
A parallelogram and a triangle are shown. Which statement is true?
the triangle has the greater perimeter
Does an isosceles triangle have a angle greater than 90?
It can. An example of an isosceles triangle without any angles greater than 90 would be an equilateral triangle, with all angles equalling 60 degrees. An example with an angle greater than 90 would be a triangle with angles of 100 degrees, 40 degrees and 40 degrees. You couldn't have an isosceles triangle with 2 angles greater than or equal to 90, as all the angles sum to 180 degrees.
How many triangles have the perimeter of 15cm?
To determine the number of triangles with a perimeter of 15cm, we need to consider the possible side lengths that can form a triangle. The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. With a perimeter of 15cm, the possible side lengths could be (5cm, 5cm, 5cm) for an equilateral triangle, (6cm, 5cm, 4cm) for an isosceles triangle, or (7cm, 5cm, 3cm) for a scalene triangle. Therefore, there are 3 possible triangles that can have a perimeter of 15cm.
Which rectangle has the greater perimeter 6 centimeters by 4 centimeters 6.5 centimeters by 2 centimeters?
6x4 has a perimeter of 2*(6+4) = 2*10 = 20 cm 6.5x2 has a perimeter of 2*(6.5+2) = 2*8.5 = 17 cm So the first has the larger perimeter.
What is the maximum vertex angle in an isosceles triangle?
an isosceles triangle can have any vertex angle less than 180 and greater than 0, as long the other two angles are equal. an isosceles triangle with a vertex of 179 degrees would just have the other two angles be 0.5 degrees. A right triangle with matching angles (both 45 degrees) would be both a right triangle and isosceles triangle.
If the area of triangle B is 64 times greater than the area of triangle A how much greater is the perimeter of triangle B?
IF triangles 'A' and 'B' are similar (they both have the same angles),then the perimeter of 'B' is 8 times the perimeter of 'A'.If they're not similar, then the ratio of areas doesn't tell you the ratioof perimeters.
What is an isosceles triangle with angles greater than 90?
In one triangle, there can only be one angle greater than 90 degrees. With that restriction, then the other two angles split the remaining 90 degrees between them. If the split is even, then the triangle is isosceles. There's nothing mysterious or special about it.
Can 11 centimeters 15 centimeters and 17 centimeters form a triangle?
11 centimeters 15 centimeters and 17 centimeters can form a triangle . It is because some of any two sides of triangle is greater than the third side . a + b >c always.
What is the perimeter of a triangle that has a area of 6.5 cm?
The minimum perimeter is when the triangle is an equilateral triangle. The perimeter of any other triangle with the same area will be longer. In the case of an equilateral triangle area = (√3)/4 × side² → side = √(4×6.5 cm²/√3) → perimeter = 3 × side = 3 × √(4×6.5 cm²/√3) ≈ 11.62 cm → The triangle has a perimeter greater than or equal to approx 11.62 cm.
Can an obstuse triangle also be isosceles?
No, an obtuse triangle cannot be isosceles. An isosceles triangle has two sides that are equal in length, but in an obtuse triangle, the angles are all greater than 90 degrees. Therefore, the sides cannot be equal in length.
Which numbers can make up a perimeter 10 for a triangle?
You can choose any three numbers that total 10, but the sum of any two of those numbers must be greater than the third number. For example, Isosceles triangles : 3,3,4 : 4,4,2 Equilateral triangle : 3⅓,3⅓, 3⅓ Scalene triangle : 2, 3½, 4½
What is the maximum length of a rectangle if the perimeter is to be no greater than 60 centimeters and the width is 5 centimeters?
The maximum length is 25 cm.
