Question

if one 30 60 90 triangle has a short leg 8 inches long,and another has a short leg of 24 inches long, find the area of each triangle, and compare their sizes

Answer 1

The triangle with a short leg= to 24 inches is times larger than the one with a short side equalling 8 in

Explanation:

Given that the short leg is equal to 8, the longer leg is equal to 8
`\sqrt{3\\` . The area of a triangle is equal to 1/2bh. 1/2× 8
`\sqrt{3\\`×8 = 55.43 approx.

Given that the short leg is equal to 24, the longer leg is equal to 24
`\sqrt{3\\` . The area of a triangle is equal to 1/2bh. 1/2 × 24
`\sqrt{3\\` ×24 = 498.83 approx.

498.83/55.43= about 9

The second triangle is approximately 9 times the size of the first.