Maligayang pagdating sa Imhr.ca, kung saan maaari kang makakuha ng mga sagot mula sa mga eksperto nang mabilis at tumpak. Maranasan ang kaginhawaan ng pagkuha ng mapagkakatiwalaang sagot sa iyong mga tanong mula sa isang malawak na network ng mga eksperto. Kumuha ng detalyado at eksaktong sagot sa iyong mga tanong mula sa isang komunidad ng mga eksperto sa aming komprehensibong Q&A platform.
Sagot :
Since the height, the base, and one of its congruent sides make a triangle, therefore we can use Pythagorean theorem.
10²=a²+6²
100=a²+36
Subtract both sides by 36
64=a²
a=8
Now since the parallel sides of a trapezoid are congruent, we can say that 2 of the sides have the same length
Next I came up with my own formula that:
[tex]b_{2}=b_{1}[/tex]+2z
or simply
[tex]b_{2}=b_1[/tex]+16
where z is the length we got from the Pythagorean theorem
The formula of the area of the trapezoid is:
A=[tex]\frac{1}{2}h(b_{1}+b_{2}[/tex]
A=246 m²
h=6 m
Substitute the values
246 m²=[tex]\frac{1}{2}6 m(b_{1}+b_{1}[/tex]+16 m)
Multiply both sides by 2
492 m²=6 m([tex]2b_{1}[/tex]+16)
Divide both sides by 6
82 m=[tex]2b_{1}[/tex]+16
Subtract both sides by 16
66 m=[tex]2b_{1}[/tex]
Divide both sides by 2
33 m=[tex]b_{1}[/tex]
Now we know we have base 1 with 33 m, not lets substitute to find the longer base
[tex]b_{2}[/tex]=33 m+16 m
Add like terms
[tex]b_{2}[/tex]=49 m
Hope this helps =)
10²=a²+6²
100=a²+36
Subtract both sides by 36
64=a²
a=8
Now since the parallel sides of a trapezoid are congruent, we can say that 2 of the sides have the same length
Next I came up with my own formula that:
[tex]b_{2}=b_{1}[/tex]+2z
or simply
[tex]b_{2}=b_1[/tex]+16
where z is the length we got from the Pythagorean theorem
The formula of the area of the trapezoid is:
A=[tex]\frac{1}{2}h(b_{1}+b_{2}[/tex]
A=246 m²
h=6 m
Substitute the values
246 m²=[tex]\frac{1}{2}6 m(b_{1}+b_{1}[/tex]+16 m)
Multiply both sides by 2
492 m²=6 m([tex]2b_{1}[/tex]+16)
Divide both sides by 6
82 m=[tex]2b_{1}[/tex]+16
Subtract both sides by 16
66 m=[tex]2b_{1}[/tex]
Divide both sides by 2
33 m=[tex]b_{1}[/tex]
Now we know we have base 1 with 33 m, not lets substitute to find the longer base
[tex]b_{2}[/tex]=33 m+16 m
Add like terms
[tex]b_{2}[/tex]=49 m
Hope this helps =)
Umaasa kami na nakatulong ito. Mangyaring bumalik kapag kailangan mo ng higit pang impormasyon o mga sagot sa iyong mga katanungan. Salamat sa iyong pagbisita. Kami ay nakatuon sa pagbibigay sa iyo ng pinakamahusay na impormasyon na magagamit. Bumalik anumang oras para sa higit pa. Bisitahin ang Imhr.ca para sa mga bago at kapani-paniwalang sagot mula sa aming mga eksperto.