The Hidden Side First
Part of the Surface Area & Volume section of Coddy's Geometry journey. Lesson 34 of 60.
The surface area needs every side of the triangle end, but a figure often gives only the two legs of a right triangle. The third side is not missing: the Pythagorean theorem fixes it.
Here the legs are 3 and 4, so the longest side is . Now the surface area: the ends make together, the rectangles make , and the total is 36.
On the board that is two steps. Tap the unlabelled side and pick Pythagorean theorem, then tap the prism and pick Surface area of a prism.
Challenge
The prism's ends are right triangles, but the longest side of the triangle is not labelled. Find the surface area, then press Check.
Try it yourself
Find the marked part of the figure
All lessons in Surface Area & Volume
1Volume of Prisms
Volume of a CuboidDouble Every EdgeVolume of a PrismAny Triangle EndA Missing EdgeRecap: Prism Volume4Pyramids
Volume of a PyramidThe Slant HeightHeight From the SlantHeight From the VolumeRecap: Pyramids7Surface Area of Prisms
Nets and Surface AreaVolume or Surface Area?A Missing Edge AgainTriangular PrismsThe Hidden Side FirstRecap: Prism Surfaces3Cylinders
Volume of a CylinderHeight From the VolumeRadius From the VolumeEnough to Find It?Recap: Cylinders6Spheres and Hemispheres
Volume of a SphereHalf a SphereRadius From the VolumeSphere in a CylinderRecap: Spheres9Pyramids and Cones Outside
Surface of a PyramidSlant Height FirstSurface of a ConeThe Cone: Slant FirstRecap: Pyramid Surfaces