Please help! :)
What is the area of...
1. A rhombus with sides of length 13 and a diagonal of length 10.
2. A parallelogram with base 2x and corresponding height x (give your answer is terms of x).
3. A trapezoid with bases of lengths 20 and 24 and with height 9.
What is the area of...
1. A rhombus with sides of length 13 and a diagonal of length 10.
2. A parallelogram with base 2x and corresponding height x (give your answer is terms of x).
3. A trapezoid with bases of lengths 20 and 24 and with height 9.
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1) for the other diagonal:
let the two equal parts of this diagonal =x
x²+5²=13² =>x=12
the other diagonal is 24 so:
S = (a*b)/2 => 10*24 / 2 => 120
2) area of a parallelogram is:
b*h so 2x*x =2x²
3) area of a trapezoid is:
(a+b)*h / 2 so:
(20+24)*9 / 2 =>198
4) this triangle is a right triangle as 8²+15²=17²
area of a triangle is:
(b*h)/2 => 8*15 / 2 =>60
let the two equal parts of this diagonal =x
x²+5²=13² =>x=12
the other diagonal is 24 so:
S = (a*b)/2 => 10*24 / 2 => 120
2) area of a parallelogram is:
b*h so 2x*x =2x²
3) area of a trapezoid is:
(a+b)*h / 2 so:
(20+24)*9 / 2 =>198
4) this triangle is a right triangle as 8²+15²=17²
area of a triangle is:
(b*h)/2 => 8*15 / 2 =>60