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First the height and base of the triangle must be found so let the height be (x+7.04) and the base be x:-

1/2*height*base = area

1/2*(x+7.04)*x = 297.3696 cm2

Multiply both sides by 2 and multiply out the brackets:

x2+7.04x = 594.7392

Subtract 594.7329 from both sides thus forming a quadratic equation:

x2+7.04-594.7392 = 0

Solving the above by means of the quadratic equation formula gives x a positive value of 21.12

Therefore: height = 28.16 cm and base = 21.12 cm

Use Pythagoras' theorem to find the third side which will be the hypotenuse:

28.162+21.122 = 1239.04 and the square root of this is 35.2

Therefore the perimeter = 28.16+21.12+35.2 = 84.48 cm

Use any of the trigonometrical ratios to find the interior angle:

tan-1(28.16/21.12) = 53.13010235 or 53 degrees to the nearest degree

Therefore the interior angles are 53 degrees, 37 degrees and 90 degrees

Q: How do you work out the perimeter and interior angles of a right angle triangle when its height is 7.04 cm greater than its base and has an area of 297.3696 square cm?

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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.

It can be anything greater than 3200.8 cm. By making the triangle taller and thinner you can keep the area constant while increasing the perimeter - without limit.

no

It is the regular 7 sided heptagon whose interior angles are greater than the regular 3 sided triangle

The three interior angles of a triangle can only be Acute or Obtuse. However, the external component of these three angles is reflex.

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the triangle has the greater perimeter

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.

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.

It can be anything greater than 3200.8 cm. By making the triangle taller and thinner you can keep the area constant while increasing the perimeter - without limit.

Perimeter: 17+15+8 = 40 cm Interior angles to the nearest degree: 62 degrees, 28 degrees and 90 degrees Solved by means of the quadratic formula, Pythagoras' theorem and trigonometry.

interior angles of a rhombus = 360 interior angles of a right triangle =180 2 times as many

no

It is the regular 7 sided heptagon whose interior angles are greater than the regular 3 sided triangle

The three interior angles of a triangle can only be Acute or Obtuse. However, the external component of these three angles is reflex.

None has. The three interior angles of every triangle add up to 180 degrees, so none of them can be greater than 180 degrees.

Yes, because it is equal to the sum of the two of them.

Circle, square, triangle and rectangle of same perimeter. Which will have more area?? The circle will have the greatest area. For regular polygons, the greater the number of vertices, the greater the area. (And so, in the limit, the circle, with an infinite number of vetices, has the greatest area.)