Question

The ratio of the base to the hieght of a triangle is7:4.the area of triangle is 504 sq m.what is the measure of the diagonal of the square whose side is equal to the base of the triangle

Answer 1

Answer:

Step-by-step explanation:

we all know that the area of the triangle is given by the formula:

$\frac{1}{2} XbaseXheight$

base is to height ratio=> 7:4

hence;

base=$7x$   ,   height=$4x$

area=504

so,

$504=\frac{1}{2} X 7x X4x$

$36=x^2$

$x=6$

diagonal =$\sqrt{2}*Side of  square$

side of square is equal to base of the triangle , which is 7*6=42.

then diagonal is $\sqrt{2}*42$

Hope it helped!!!!!!!!!!!!!!!