Question

Find V. 10 points plz.

Answer 1

v = 60 yards

Explanation:

In the similar triangles, their corresponding sides are proportional which means they have equal ratios

In triangles IHG and FHJ

∵ Δ IHG ≈ FHJ

∵ Side IH is corresponding to side FH

∵ Side HG is corresponding to side HJ

∵ Side IG is corresponding to side FJ

→ Their ratios are equal

∴
`(IH)/(FH)` =
`(HG)/(HJ)` =
`(IG)/(FJ)`

∵ IH = 54 yards and FH = 72 yards

∵ IG = v and FJ = 80 yards

→ Substitute them in the first and last ratios above

∴
`(54)/(72)` =
`(v)/(80)`

→ By using cross multiplication

∴ v × 72 = 80 × 54

∴ 72v = 4320

→ Divide both sides by 72

∴ v = 60 yards