How find th missing hight

Mathematics

2 answers:

never [62]3 years ago

3 0

Answer:

base = 4 yards, height = 1 5/7 yards

Step-by-step explanation:

The scale factor relating the dimensions of the smaller triangle to the larger is 4/7, the ratio of the lengths of their bases. That same scale factor applies to the height, so the smaller height is ...

... (3 yards) × (4/7) = 12/7 yards = 1 5/7 yards

algol133 years ago

3 0

Answer:

1 5/7 yards

Step-by-step explanation:

The 2 triangles are similar so the corresponding sides ( including the height) will be in the same proportion, so:-

7/4 = 3/x

7x = 12

x = 1 5/7

So the height will be 1 5/7

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Can someone solve this for me?

Helga [31]

well, we know it's a rectangle, so that means the sides JK = IL and JI = KL, so

$\stackrel{JK}{3x+21}~~ = ~~\stackrel{IL}{6y}\implies 3(x+7)=6y\implies x+7=\cfrac{6y}{3} \\\\\\ x+7=2y\implies \boxed{x=2y-7} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{JI}{6y-6}~~ = ~~\stackrel{KL}{2x+20}\implies 6(y-1)=2(x+10)\implies \cfrac{6(y-1)}{2}=x+10 \\\\\\ 3(y-1)=x+10\implies 3y-3=x+10\implies \stackrel{\textit{substituting from the 1st equation}}{3y-3=(2y-7)+10} \\\\\\ 3y-3=2y+3\implies y-3=3\implies \blacksquare~~ y=6 ~~\blacksquare ~\hfill \blacksquare~~ \stackrel{2(6)~~ - ~~7}{x=5} ~~\blacksquare$