Question

in a right-angled triangle,base =12cm hypotenuse is 15cm find the prependicular
pls answer it fast pls
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Answer 1

Answer:

Right Angled Triangle. NOT TO SCALE

Fact: Base (length “ b “) is 12cm.

Fact: Hypotenuse (length “ c “) is 13cm.

Fact: Height (length" a “) is not known.

Task: Find the area of the triangle.

Analysis

The area of a triangle is half the length of the base multiplied by the height.

To find the height, we need to use Pythagorus' Theorem.

Pythagorus

Referring to the triangle shown in Sketch (1) above:

( a^2 ) + ( b^2 ) = ( c^2 ) so

The Hypotenuse = c = sqrt[ ( a^2 ) + ( b^2 ) ] or

( 13 ) = sqrt[ ( 12^2 ) + ( Height^2 ) ]

Squaring both sides of the equation:

( 169 ) = ( 144 ) + ( Height^2 ) so

( Height ) = sqrt( 25 )

Therefore ( Height ) = +/- ( 5 )

We cannot (obviously) have a negative height on a triangle so the true height of this triangle is +5cm.

Area of the Triangle

Area = ( 1/2 ) * (Base of Triangle ) * (Height of Triangle ).

or

= ( 0.5 ) * ( 12 ) * ( 5 ) or

= ( 30 )cm^2