Question

Find the base of a triangle whose area is 357 square feet and the height is 17 feet.

asap needed it counts on my final grade

Answer 1

${\large{\pmb{\sf{\underline{RequirEd \: Solution...}}}}}$

${\bigstar \:{\pmb{\sf{\underline{Given \: that...}}}}}$

⋆ There is a triangle

⋆ Area of the triangle is 357 sq. feet

⋆ Height of the triangle is 17 feet

${\bigstar \:{\pmb{\sf{\underline{To \: find...}}}}}$

⋆ Base of the triangle

${\bigstar \:{\pmb{\sf{\underline{Solution...}}}}}$

⋆ Base of the triangle = 42 feet

${\bigstar \:{\pmb{\sf{\underline{Using \: concept...}}}}}$

⋆ Formula to find area of triangle

${\bigstar \:{\pmb{\sf{\underline{Using \: formula...}}}}}$

${\small{\underline{\boxed{\sf{\star \: Area \: of \: triangle \: = \dfrac{1}{2} \times Base \times Height}}}}}$

${\bigstar \:{\pmb{\sf{\underline{Full \: Solution...}}}}}$

~ To solve this question we just have to put the values according to the using formula that is of area of triangle

$:\implies \sf Area \: of \: triangle \: = \dfrac{1}{2} \times Base \times Height \\ \\ :\implies \sf 357 = \dfrac{1}{2} \times Base \times 17 \\ \\ :\implies \sf 357 = 8.5 \times Base \\ \\ :\implies \sf \dfrac{357}{8.5} \: = Base \\ \\ :\implies \sf 42 \: = Base \\ \\ :\implies \sf Base \: = 42 \: feet$

Base of given triangle is 42 feet