Verified answer

Answer:

Given :-

• The height of a triangle is 31.4 mm and the area is 1256 mm².

To Find :-

• What is the base of the triangle ?

Solution :-

Given :

• Area of Triangle = 1256 mm²
• Height = 31.4 mm

According to the question by using the formula we get,

[tex]\implies \sf\boxed{\bold{Area_{(Triangle)} =\: \dfrac{1}{2} \times b \times h}}\\[/tex]

[tex]\small \implies \sf\bold{Area_{(Triangle)} =\: \dfrac{1}{2} \times Base \times Height}\\[/tex]

[tex]\implies \sf 1256 =\: \dfrac{1}{2} \times Base \times 31.4\\[/tex]

[tex]\implies \sf 1256 =\: \dfrac{31.4}{2} \times Base\\[/tex]

[tex]\implies \sf 1256 \times \dfrac{2}{31.4} =\: Base\\[/tex]

[tex]\implies \sf \dfrac{2512}{31.4} =\: Base\\[/tex]

[tex]\implies \sf 80 =\: Base\\[/tex]

[tex]\implies \sf\bold{\underline{Base_{(Triangle)} =\: 80\: mm}}\\[/tex]

[tex]\therefore[/tex] The base of the triangle is 80 mm .