Isosceles triangle 9
There is an isosceles triangle ABC where AB= AC. The perimeter is 64cm, and the altitude is 24cm. Find the area of the isosceles triangle.
Correct answer:
Showing 2 comments:
Steve
No, your solution starts with h=25cm, but the question says that h=24cm.
So, looking at one-half of the isosceles triangle, x2 + 242 = (32-x)2 solves to x=7cm, which gives the area of the isosceles triangle as 7x24 = 168cm2
So, looking at one-half of the isosceles triangle, x2 + 242 = (32-x)2 solves to x=7cm, which gives the area of the isosceles triangle as 7x24 = 168cm2
Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
The Pythagorean theorem is the base for the right triangle calculator.
Calculation of an isosceles triangle.
See also our trigonometric triangle calculator.
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
The Pythagorean theorem is the base for the right triangle calculator.
Calculation of an isosceles triangle.
See also our trigonometric triangle calculator.
You need to know the following knowledge to solve this word math problem:
- algebra
- quadratic equation
- equation
- expression of a variable from the formula
- planimetrics
- Pythagorean theorem
- area of a shape
- triangle
- The right triangle altitude theorem
Units of physical quantities:
Grade of the word problem:
Related math problems and questions:
- The triangle 6
The triangle has an area of 7 ⅞ cm² and a base of 5 ¼ cm. What is the length of h? Explain your reasoning. - Panting
If the base of the triangle is 2 3/4 meters & and the altitude is 3 2/3 meters, then what is the cost of panting on both sides at ₹3 1/2 per sq.m.? - Januka
Januka and her father were going to the tent. They found that their old tent was torn. Their mother suggested that they sew a tent whose walls would be made of 4 identical isosceles triangles. Their lower side is 2 m long, and the height is also 2 m. Then - The apothem
The apothem of a regular hexagon is 5√3 inches. Find one of its sides and area. - One side 4
One side of a regular octagon is 12 inches. Find the apothem and its area. - Area - simple
Find the area of the triangle. So, the base is 7 2/3 mi. The height is 7 mi. What is the Area? - Storage shed
Frank designed a net for a storage shed that he is going to construct out of metal. The design consists of a square base and four square sides, plus four triangular parts that make up the roof. A square base of 6 feet and four square sides, plus 4 feet of - A triangle 9
A triangle has an area of 16 1/2 square units. The height is 3 2/3. What is the base? - A triangle 8
A triangle has a base of 9.2 feet and a height of 4.8 feet. What is the area of the triangle? - Isosceles triangle
Find the area of an isosceles triangle whose leg is twice the base, b=1 - An equivalent
An equilateral triangle has the same perimeter as a rectangle whose sides are b and h (b > h). Considering that the area of the triangle is three times the area of the rectangle. What is the value of b/h? - An isosceles
An isosceles trapezoid has base angles of 50° each, and its bases are 20 cm and 30 cm. Compute its area. - Length 26
The length of the median of the trapezoid is 10 inches. The median divides the trapezoid into two areas whose ratio is 3:5. The length of the shorter base is: - Consider 3
Consider the isosceles trapezoid PQRS. The bases are |PQ|=120 mm, |RS|=62 mm and the arm s=48 mm. Find the height of the trapezoid, diagonal length and the area of the trapezoid. - Base and longest side
The base of a right-angled triangle is 10 centimeters, and the longest side is 26 centimeters. What is the area of the triangle? - Slant height 2
A regular triangular pyramid with a slant height of 9 m has a volume of 50 m³. Find the lateral area of the pyramid. - A triangle 3
A triangle has a base of 5 5/6 feet and a height of 7 2/5 feet. Find the area of the triangle as a mixed number.