Question

find the length of the hypotenuse of a right angle triangle if its perpendicular sides measure 5 cm and 12 cm
step by step explanation fast please very urgent​

Answer 1

Answer:

Hope this answer will satisfy you. Plz mark brainliest

Step-by-step explanation:

let hypotenuse be x

5² + 12² = x²

x² = 25 + 144

x² = 169

x = underroot 169 = 13

Answer 2

GiveN :

• Two of it's perpendicular sides are of measures 5cm and 12cm.

To FinD :

• Hypotenuse of the triangle

SolutioN :

As we know that the perpendicular sides of a right angles triangles are Base and Perpendicular.

Let,

• Base (B) = 5 cm
• Perpendicular (P) = 12 cm

___________________

✯ Figure :

$\setlength{\unitlength}{1.6cm}\begin{picture}(6,2)\linethickness{0.5mm}\put(7.7,2.9){\large\sf{A}}\put(7.7,1){\large\sf{B}}\put(10.6,1){\large\sf{C}}\put(8,1){\line(1,0){2.5}}\put(8,1){\line(0,2){1.9}}\qbezier(10.5,1)(10,1.4)(8,2.9)\put(8.7,0.7){\sf{\large{5 cm}}}\put(7.2,2){\sf{\large{12 cm}}}\put(8.2,1){\line(0,1){0.2}}\put(8,1.2){\line(3,0){0.2}}\put(9.8,2.7){\boxed{\bf{@TheDarkSlayer}}}\end{picture}$

___________________

Use Pythagoras Theorem :

⇒(Hypotenuse)² = (Base)² + (Perpendicular)²

⇒AC² = AB² + BC²

⇒H² = B² + P²

⇒H² = (5)² + (12)²

⇒H² = 25 + 144

⇒H² = 169

⇒H = √(169)

⇒H = 13

$\therefore$ Length of Hypotenuse is 13 cm.

___________________

Additional Information :

• Triangle is a 2-Dimensional shape.

• Triangle have three sides.

• There are three types of triangles : Isosceles triangle, Scalen triangle and equilateral triangle.

• In Isosceles triangle, two sides of triangle are equal and one side is different lengths.

• In Scalen triangle, all the three sides of triangle of different lengths.

• In equilateral triangle, all the sides of triangle are of equal length.