Answer:
17.6 m²
Step-by-step explanation:
Given the ratio of similar shapes = a : b, then
area of shapes = a ² : b²
Δ PTQ and Δ PRS are similar and so the ratio of corresponding sides are equal, that is
PT : PR = 6 : 9 = 2 : 3, thus
ratio of areas = 2² : 3² = 4 : 9
let the area of Δ PQT be x, then using proportion
=
( cross- multiply )
9x = 4(x + 22) ← distribute
9x = 4x + 88 ( subtract 4x from both sides )
5x = 88 ( divide both sides by 5 )
x = 17.6
Thus area of Δ PQT = 17.6 m²
Answer: H is 5 and K is 2
Step-by-step explanation:
We can tell this is an isosceles triangle due to the sticks meaning the base angles are equal so the measurement of ACB would be the same as ABC so it would measure x
The answer is 75° because all three angles of a triangle must add to 180°