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3 years ago

What is the area of the shaded triangle?8mm 10mm 31mm 6mm 24mm

Mathematics

1 answer:

pickupchik [31]3 years ago

3 0

Answer: 96mm²

Step-by-step explanation:

c=31 mm

m=6mm

b=8mm

d=10mm

l=24 mm

-----------------------

c=31 mm

a=24+6=30 mm

b=8mm

A of ΔM=30*8/2=

120 mm²

A of ΔS=b*m/2=8*6/2=24mm²

Area od shaded triangle is=area of ΔM-area ofΔS=120-24=96mm²

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$\begin{array}{l}{X=\frac{-12 \pm \sqrt{144-96}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{48}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{16 \times 3}}{2}} \\\\ {X=\frac{-12 \pm 4 \sqrt{3}}{2}} \\ {X=\frac{2(-6+2 \sqrt{3})}{2}, \frac{2(-6-2 \sqrt{3})}{2}} \\\\ {X=(-6+2 \sqrt{3}),(-6-2 \sqrt{3})}\end{array}$

Hence the x-intercepts of $\mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})$

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What is the area of the shaded triangle?8mm 10mm 31mm 6mm 24mm​

What is the area of the shaded triangle?8mm 10mm 31mm 6mm 24mm