ISO Triangle V2

The perimeter of RR triangle (isosceles) is 474 m, and the base is 48 m longer than the arms. Calculate the area of this triangle.

Correct answer:

S =  10026.4 m²

Step-by-step explanation:

$$\begin{gathered} 474=2a+b \\ b=a+48 \\ 474=3a+48 \\ a=142 \\ b=a+48=190 \\ {h}^2=a^2-(b\mathrm{/}2{)}^2 \\ h=\sqrt{142^2-(190\mathrm{/}2{)}^2} \\ h=105.541 \\ S={\displaystyle \frac{bh}{2}}={\displaystyle \frac{190\cdot 105.541}{2}} \\ S=10026.4{\text{m}}^2 \end{gathered}$$

Try calculation via our triangle calculator.

Try another example

Showing 1 comment:

Math student

Cuantos Triángulos Hay?

4 months ago  Like

Related math problems and questions:

• ISO triangle
  Calculate the area of an isosceles triangle KLM if its sides' length is in the ratio k:l:m = 4:4:3 and has perimeter 377 mm.
• Isosceles III
  The base of the isosceles triangle is 17 cm area 416 cm². Calculate the perimeter of this triangle.
• Isosceles right triangle
  Calculate the area of an isosceles right triangle whose perimeter is 252 cm.
• Leg
  Determine the trapezoid area with bases 71 and 42, and the height is 4 shorter than its leg.
• Euklid4
  The legs of a right triangle have dimensions 244 m and 246 m. Calculate the length of the hypotenuse and the height of this right triangle.
• RT 11
  Calculate the area of right tirangle if its perimeter is p = 45 m and one cathethus is 20 m long.
• Isosceles triangle
  Calculate the area of an isosceles triangle, the base of which measures 16 cm and the arms 10 cm.
• ISO trapezium
  Calculate area of isosceles trapezoid with base 95 long, leg 27 long and with the angle between the base and leg 70 degrees.
• Square
  Calculate the area of the square shape of the isosceles triangle with the arms 50m and the base 60m. How many tiles are used to pave the square if the area of one tile is 25 dm²?
• Isosceles trapezoid
  The lengths of the bases of the isosceles trapezoid are in the ratio 5:3, the arms have a length of 5 cm and height = 4.8 cm. Calculate the circumference and area of a trapezoid.
• Described
  Calculate perimeter of the circle described by a triangle with sides 478, 255, 352.
• Arm and base
  The isosceles triangle has a circumference of 46 cm. Calculate its area if the arm is 5 cm longer than the base.
• A isosceles
  A isosceles triangle has an area of 168 cm² and it's added height and base is 370 cm. What are the measurements of it's height and base?
• Land - isosceles trapezoid
  Calculate the building plot's content and perimeter in the form of an isosceles trapezoid with bases 120m, 95m, and height 50m.
• The regular
  The regular triangular prism has a base in the shape of an isosceles triangle with a base of 86 mm and 6.4 cm arms, the height of the prism is 24 cm. Calculate its volume.
• Right triangle eq2
  Hypotenuse of a right triangle is 9 cm longer than one leg and 8 cm longer than the second leg. Determine the circumference and area of a triangle.
• Isosceles triangle
  Calculate the area and perimeter of an isosceles triangle ABC with base AB if a = 6 cm, c = 7 cm.