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What is the perimeter of an isosceles triangle whose base is 15.96 cm with an area of 84.9072 square cm showing all aspects of work with answer?
Wiki User
∙ 9y ago
First find its height by dividing its area and use Pythagoras to find its sides:
Height: 84.9072/(0.5*15.96) = 10.64 cm
Half its base: 7.98 cm
Pythagoras: 10.64 squared plus 7.98 squared = 176.89 and its sq rt = 13.3
Perimeter therefore is: 2*(13.3)+15.96 = 42.56 cm
Wiki User
∙ 9y ago
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What is the perimeter of an isosceles triangle whose base is 15.96 cm with an area of 84.9072 square cm showing all work and answer?
These are basically the steps: * Use the formula for the area of a triangle to calculate the height. * Use the height and half the base to calculate the lateral sides. Use the Pythagorean Theorem. (It helps to draw a sketch, to visualize the situation.) * Add the three sides to get the perimeter.
Can you name 3 different triangles with showing the picture?
Three triangles are: scalene, which has three sides of different lengths, isosceles, which has two sides with the same length, and equilateral, which has three sides that are all the same length. In the picture, the scalene triangle is triangle RST, the isosceles triangle is triangle XYZ, and the equilateral triangle is triangle ABC. If two sides or more sides of a triangle have a little line on them, then they are the same length. Click on the related link, "Three Triangles", to see them.
What is the perimeter of an isosceles triangle that has a perpendicular height of 5.32 cm and an area of 21.2268 square cm showing all work with answers?
21.2268 = 0.5 x base x 5.32 base = (21.2268)/(0.5 x 5.32) = (21.2268/2.66) = 7.98 Half the base = 3.99 Now one of the equal sides of the isosceles triangle (using pythagoras theorem) is sqrt(3.99^2 + 5.32^2) = sqrt(15.92 + 28.30) = sqrt(44.22) = 6.65 Therefore perimeter of triangle is = base + 2x6.65 = 7.98 + 13.3 = 21.28 cm
Can you find the dimensions of an isosceles triangle with an area of XII square inches and a height of IV inches showing details of your work?
First find the length of the base: base = area times 2 divided by height base = 12x2/4 = 6 inches An isosceles triangle can be considered as being two right angled triangles joined together. So by halving the length of the base we can use Pythagoras' Theorem to find the hypotenuse: base2+height2 = hypotenuse2 32+42 = 25 square inches. Square root of 25 = 5 inches Therefore the isosceles triangle has two equal sides of V inches and a base of VI inches.
What is the perimeter of an equilateral triangle whose area is 97.428 square cm showing work and answer to the nearest integer?
Let the sides be s:- If: 0.5*s squared*sin(60 degrees) = 97.428 Then: s = square root of 97.428*2/sin(60 degrees) => 15.00001094 Perimeter: 3*15 = 45 cm
What is the perimeter of an isosceles triangle whose base is 15.96 cm with an area of 84.9072 square cm showing all work and answer?
These are basically the steps: * Use the formula for the area of a triangle to calculate the height. * Use the height and half the base to calculate the lateral sides. Use the Pythagorean Theorem. (It helps to draw a sketch, to visualize the situation.) * Add the three sides to get the perimeter.
Can you name 3 different triangles with showing the picture?
Three triangles are: scalene, which has three sides of different lengths, isosceles, which has two sides with the same length, and equilateral, which has three sides that are all the same length. In the picture, the scalene triangle is triangle RST, the isosceles triangle is triangle XYZ, and the equilateral triangle is triangle ABC. If two sides or more sides of a triangle have a little line on them, then they are the same length. Click on the related link, "Three Triangles", to see them.
What is the perimeter of an isosceles triangle that has a perpendicular height of 5.32 cm and an area of 21.2268 square cm showing all work with answers?
21.2268 = 0.5 x base x 5.32 base = (21.2268)/(0.5 x 5.32) = (21.2268/2.66) = 7.98 Half the base = 3.99 Now one of the equal sides of the isosceles triangle (using pythagoras theorem) is sqrt(3.99^2 + 5.32^2) = sqrt(15.92 + 28.30) = sqrt(44.22) = 6.65 Therefore perimeter of triangle is = base + 2x6.65 = 7.98 + 13.3 = 21.28 cm
What is the perimeter and base angles of an isosceles triangle whose base is 9.96 cm with an area of 33.0672 square cm showing work and answers?
Area: 0.5*9.96*height = 33.0672 sq cmHeight: (33.0672*2)/9.96 = 6.64 cmAn isosceles triangle is in effect two right angle triangles joined together at its line of symmetry and in this case have bases of 9.96/2 = 4.98So using Pythagoras: 6.64 squared+4.98 squared = 68.89Square root of 68.89 = 8.3 which is its hypotenusePerimeter therefore is: 8.3+8.3+9.96 = 26.56 cmBase angles: tangent^-1(6.64/4.98) = 53 degrees to nearest degree
Can you find the dimensions of an isosceles triangle with an area of XII square inches and a height of IV inches showing details of your work?
First find the length of the base: base = area times 2 divided by height base = 12x2/4 = 6 inches An isosceles triangle can be considered as being two right angled triangles joined together. So by halving the length of the base we can use Pythagoras' Theorem to find the hypotenuse: base2+height2 = hypotenuse2 32+42 = 25 square inches. Square root of 25 = 5 inches Therefore the isosceles triangle has two equal sides of V inches and a base of VI inches.
What is the perimeter of an equilateral triangle whose area is 97.428 square cm showing work and answer to the nearest integer?
Let the sides be s:- If: 0.5*s squared*sin(60 degrees) = 97.428 Then: s = square root of 97.428*2/sin(60 degrees) => 15.00001094 Perimeter: 3*15 = 45 cm
What are the equal lengths of an isosceles triangle which has 2 equal base angles of 75 degrees and an area of 100 square cm showing key stages of work?
Formula: 0.5*a*b*sinC = area or 0.5*side2*sinC = area Apex angle: 180-75-75 = 30 degrees So: 0.5*side2*sin30 = 100 square cm Side as subject of the formula: side = square root of (200/sin30) = 20 Therefore: each equal sides of the isosceles triangle are 20 cm in length
What is the area of an isosceles triangle that has two equal sides of 8.75 cm and two equal angles of 63 degrees showing work and final answer to 3 significant figures?
Area: 0.5*8.75*8.75*sin(54 degrees) = 31.0 square cm to 3 significant figures
What is the perimeter of an isosceles triangle whose base angles add up to 60 degrees and has an area of 132.61014 square cm showing work?
Suppose the base of the triangle is of length x cm and the equal sides are of length y cm.The base angles sum to 60 degrees so each is 30 degrees and the apex angle is 180-60 = 120 degrees.Then area = 132.61014 = 0.5*y2*sin(120)So that y2 = 132.61014/[0.5*sin(120)] = 306.25and therefore, y = 17.5 cm.Then, by the sine rule, x/sin(120) = y/sin(30)So x = y*sin(120)/sin(30) = 30.31 cmAnd therefore, perimeter = x + 2*y = 65.31 cm.
What are the dimensions of an isosceles triangle when each of its congruent sides is a number squared with as base of 3 times the same number and has a perimeter of 77.2502 cm showing work and answer?
Let the number be x and so: 2x squared+3x = 77.2502 Then: 2x squared+3x-77.2502 = 0 Solving the above quadratic equation gives x a positive value of 5.51 Thus: congruent sides are each 30.3601 cm and base is 16.53 cm Check: 30,3601+30.3601+16.53 = 77.2502 cm
Why when the US flag is folded what shape is it?
it should be a triangle with no red showing
What is the perimeter of a rectangle whose diagonal is 17.55 cm with an area of 109.35 square cm showing key aspects of work?
Here are the key aspects of work; I'll leave the details of the calculation to you. 1) Write an equation for the area, in terms of variables "w" and "h" (for width and height). 2) Write an equation for the length of the diagonal, in terms of "w" and "h". (Hint: Use the Pythagorean Theorem.) 3) Solve the two equations. 4) Calculate the perimeter, based on length and width.
