Question

Do number one and two please I don’t know how to do this. If your don’t know the formula for Pythagorean Theorem search it up so you can use it to find the missing value.

Answer 1

#1

We need height first

Use Pythagorean theorem

`\\ \sf\longmapsto H^2=14^2-(10/2)^2`

`\\ \sf\longmapsto H^2=196-25`

`\\ \sf\longmapsto H^2=171`

`\\ \sf\longmapsto H\approx 13`

Now

Area

`\\ \sf\longmapsto (1)/(2)bh`

`\\ \sf\longmapsto (1)/(2)(5)(13)[)tex]</p><p> [tex]\\ \sf\longmapsto (65)/(2)`

`\\ \sf\longmapsto 32.5cm^2`

#2

Area of SQR=300/2=150in^2

Now

`\\ \sf\longmapsto (1)/(2)bh=150`

`\\ \sf\longmapsto (1)/(2)b(15)=150`

`\\ \sf\longmapsto (b)/(2)=10`

`\\ \sf\longmapsto b=20in`

Using Pythagorean theorem

`\\ \sf\longmapsto x^2=15^2+20^2`

`\\ \sf\longmapsto x^2=225+400`

`\\ \sf\longmapsto x^2=625`

`\\ \sf\longmapsto x=25in`