Question

Find the value of x. If necessary, round to the nearest tenth.

a) 8.9 in.

b) 10.8 in.

c) 12.6 in.

d) 6.3 in.

Answer 1

a) 8.9

Triangle is half of a square, so a square has double the area of the triangle.

40 x 2 = 80

Area is the square root of 80.

Square root of 80 = about 8.9

x = 8.9

Answer 2

Answer: a) 8.9 in.

Explanation:

From the given picture it can be seen that the area of the triangle A = 40 sq. in.

The height of triangle = base of the triangle =x

We know that the area of triangle is given by :-

`A=(1)/(2)* base * height\\\\\Rightarrow\ 40=(1)/(2)(x)(x)\\\\\Rightarrow\ 2*40=x^2\\\\\Rightarrow\ x^2=80\\\\\Rightarrow\ x=√(80)=8.94427191\approx8.9\ in.`

Hence, the value of x = 8.9 in.