Question

the length of base a triangle is 8.2cm. the area of triangle is 39.77cm work out perpendicular height of triangle ​

Answer 1

Answer:

Perpendicular height = 9.7

Step-by-step explanation:

Given :

• Base of Triangle = 8.2 cm

• Area of triangle = 39.77

• Height = ?

To find :

• Perpendicular height of Triangle

Formulae Used :

Area of Triangle = 1/2 × b × h

• b = base

• h = height

Solution :

Let, height = h

>>> A = 1/2 × b × h

>>> 39.77 = 1/2 × 8.2 × h

>>> 1/2 × 8.2 × h = 39.77

>>> 4.1 × h = 39.77

>>> 4.1 h = 39.77

>>> h = 39.77 / 4.1

>>> h = 9.7

So, Perpendicular height of Triangle = 9.7 cm.

_____________________

Answer 2

Answer:

9.7

Step-by-step explanation:

We know that:

Base: 8.2

Height: X(since we don't know value we simply substitute a variable)

Area: 39.77

Pro tip: use an equation that fits all the give elements

we know Base and Area only height is not given

so we have 2 elements known and 1 unknown

in total 3 elements

and now for the interesting part

to choose an equation

we know that there is only one formula that is used to find the area of a triangle and contain all these elements

1/2*base*height= area

so

1/2*8.2*x= 39.77

take half of 8.2

4.1*x=39.77

with transposition we take 4.1 from LHS(Left Hand Side) to RHS(Right Hand Side)

and since on LHS 4.1 is multiplying after being transposed to RHS it will divide

so equation will be like

x=39.77/4.1

after division

x=9.7

you can check of this is correct by applying the values to the formula

hope this helps:-)