Math, asked by rishisingh777, 4 months ago

What kind of triangle is each torlangle
according
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Answered by vndna914
1

Answer:

1sr one is isosceles triangle and 2nd one is right triangle

Step-by-step explanation:

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Answered by AestheticSoul
3

Question

What kind of triangle is each -

1st Triangle -

Diagram -

\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\qbezier(1, 0)(1,0)(3,3)\qbezier(5,0)(5,0)(3,3)\qbezier(5,0)(1,0)(1,0)\put(2.85,3.2){$\bf A$}\put(0.5,-0.3){$\bf C$}\put(5.2,-0.3){$\bf B$}\end{picture}

: \mapsto It is an equilateral triangle.

Reason - All three sides are equal (given).

Equilateral triangle -

  • Area of equilateral triangle -
  • \sf{\dfrac{\sqrt{3}}{4}a^2}
  • Perimeter of equilateral triangle = 3a where, a = side of triangle

2nd Triangle -

\setlength{\unitlength}{1cm}\begin{picture}(6,5)\linethickness{.4mm}\put(1,1){\line(1,0){4.5}}\put(1,1){\line(0,1){3.5}}\qbezier(1,4.5)(1,4.5)(5.5,1)}\put(1.02,1.02){\framebox(0.3,0.3)}\put(.7,4.8){\large\bf A}\put(.8,.3){\large\bf B}\put(5.8,.3){\large\bf C}\qbezier(4.5,1)(4.3,1.25)(4.6,1.7)\put(3.8,1.3)}\end{picture}

: \mapsto It is a right - angled triangle.

Reason - One of its angle is right angled at 90°.

A right - angled triangle can be scalene or Isosceles.

Isosceles  triangle -

  • In this two sides of triangle are equal.
  • Area of isosceles triangle -
  • \sf{\dfrac{1}{2} \times base \times height}
  • Perimeter of isosceles triangle -
  • = 2a + b

Scalene triangle -

  • In this no side is equal.
  • Area of scalene triangle -
  • Heron's formula = \sf{\sqrt{s(s - a)(s - b)(s - c)}}
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