Question

please answer this question
-​

Answer 1

Answer:

Area of triangle = 96

Step-by-step explanation:

Let the ratio be

4x and 5x

so by phythagoras

$( {hypo)}^{2} = ( {base)}^{2} + ( {height)}^{2} \\ \\ ({5x)}^{2} = ( {4x)}^{2} + (height)2 \\ \\ 25 {x }^{2} = 16 {x}^{2} + (height)2 \\ \\ 25 {x}^{2} - 16 {x}^{2} = (height)2 \\ \\ 9 {x}^{2} = (height)2 \\ \\ 3x = height \\ \\ \\ so \\perimeter \: of \: triangle = 4x + 5x + 3x \\ 48= 12x \\ 4 = x \\ base = 4x = 4 \times 4 = 16 \\ \\ \\ hypo = 5x = 5 \times 4 = 20 \\ height = 3x = 3 \times 4 = 12 \\ area \: of \: triangle = \frac{1}{2} \times b \times h \\ \\ = \frac{1}{2} \times 16\times 12 \\ \\ = 96 \\ \\ hope \: it \: will \: help \: you$

Answer 2

Answer:

Area of triangle = 96

Step-by-step explanation:

Let the ratio be

4x and 5x

so by phythagoras

\begin{gathered}( {hypo)}^{2} = ( {base)}^{2} + ( {height)}^{2} \\ \\ ({5x)}^{2} = ( {4x)}^{2} + (height)2 \\ \\ 25 {x }^{2} = 16 {x}^{2} + (height)2 \\ \\ 25 {x}^{2} - 16 {x}^{2} = (height)2 \\ \\ 9 {x}^{2} = (height)2 \\ \\ 3x = height \\ \\ \\ so \\perimeter \: of \: triangle = 4x + 5x + 3x \\ 48= 12x \\ 4 = x \\ base = 4x = 4 \times 4 = 16 \\ \\ \\ hypo = 5x = 5 \times 4 = 20 \\ height = 3x = 3 \times 4 = 12 \\ area \: of \: triangle = \frac{1}{2} \times b \times h \\ \\ = \frac{1}{2} \times 16\times 12 \\ \\ = 96 \\ \\ hope \: it \: will \: help \: you\end{gathered}

(hypo)

2

=(base)

2

+(height)

2

(5x)

2

=(4x)

2

+(height)2

25x

2

=16x

2

+(height)2

25x

2

−16x

2

=(height)2

9x

2

=(height)2

3x=height

so

perimeteroftriangle=4x+5x+3x

48=12x

4=x

base=4x=4×4=16

hypo=5x=5×4=20

height=3x=3×4=12

areaoftriangle=

2

1

×b×h

=

2

1

×16×12

=96

hopeitwillhelpyou